Name: ________________________ Class: ___________________ Date: __________
ID: A
Geometry M3: Unit 1 Practice Exam
Short Answer
1. Given a regular hexagon, find the measures of the angles formed by (a) two consecutive radii and (b) a radius
and a side of the polygon.
2. The area of a regular hexagon is 35 in.2 Find the length of a side. Round your answer to the nearest tenth.
3. Find the area of a regular hexagon with an apothem 16.5 inches long and a side 19 inches long. Round your
answer to the nearest tenth.
4. You are planning to use a ceramic tile design in your new bathroom. The tiles are blue-and-white equilateral
triangles. You decide to arrange the blue tiles in a hexagonal shape as shown. If the side of each tile measures 7
centimeters, what will be the exact area of each hexagonal shape?
5. Find the area of a regular hexagon with side length of 8 m. Round your answer to the nearest tenth.
6. Find the area of an equilateral triangle with radius 8
3 m. Leave your answer in simplest radical form.
7. A regular hexagon has a perimeter of 150 m. Find its area. Leave your answer in simplest radical form.
Find the area of the circle. Leave your answer in terms of  .
8.
1
Name: ________________________
ID: A
9.
10. A team in science class placed a chalk mark on the side of a wheel and rolled the wheel in a straight line until
the chalk mark returned to the same position. The team then measured the distance the wheel had rolled and
found it to be 35 cm. To the nearest tenth, what is the area of the wheel?
11. Find the area of the figure to the nearest tenth.
12. Find the area of a sector with a central angle of 180° and a diameter of 5.6 cm. Round to the nearest tenth.
13. A jewelry store buys small boxes in which to wrap items that they sell. The diagram below shows one of the
boxes. Find the lateral area and the surface area of the box to the nearest whole number.
Use formulas to find the lateral area and surface area of the given prism. Round your answer to the
nearest whole number.
14.
2
Name: ________________________
ID: A
15.
Find the surface area of the cylinder in terms of  .
16.
17.
3
Name: ________________________
ID: A
18. Find the surface area of the cylinder to the nearest whole number.
19. The radius of the base of a cylinder is 39 in. and its height is 33 in.. Find the surface area of the cylinder in
terms of  .
Find the surface area of the pyramid shown to the nearest whole number.
20.
21.
4
Name: ________________________
ID: A
22. Find the slant height x of the pyramid shown, to the nearest tenth.
23. Find the lateral area of the square pyramid shown, to the nearest whole number.
24. Find the surface area of the cone to the nearest tenth.
25. Find the surface area of a conical grain storage tank that has a height of 30 meters and a diameter of 14 meters.
Round the answer to the nearest square meter.
5
Name: ________________________
ID: A
26. Find the surface area of the cone in terms of  .
27. Find the slant height of the cone to the nearest whole number.
28. The lateral area of a cone is 558 cm2 . The radius is 31 cm. Find the slant height to the nearest tenth.
Find the volume of the given prism. Round to the nearest tenth if necessary.
29.
6
Name: ________________________
ID: A
30.
31.
32. Concrete can be purchased by the cubic yard. How much will it cost to pour a slab 18 feet by 18 feet by 4
inches for a patio if the concrete costs $41.00 per cubic yard?
Find the volume of the cylinder in terms of  .
33.
34.
7
Name: ________________________
ID: A
35. Find the volume of the composite space figure to the nearest whole number.
Find the volume of the square pyramid shown. Round to the nearest tenth if necessary.
36.
37.
38. Find the volume of a square pyramid with base edges of 48 cm and a slant height of 26 cm.
8
Name: ________________________
ID: A
Find the volume of the cone shown as a decimal rounded to the nearest tenth.
39.
40.
41. Find the volume of the oblique cone shown. Round to the nearest tenth.
9
Name: ________________________
ID: A
42. Find the volume of the oblique cone shown in terms of  .
Find the surface area of the sphere with the given dimension. Leave your answer in terms of  .
43. radius of 60 m
44. diameter of 14 cm
45. Find the surface area of a sphere with a circumference of 13 mm. Round to the nearest tenth.
46. A balloon has a circumference of 11 cm. Use the circumference to approximate the surface area of the balloon
to the nearest square centimeter.
Find the volume of the sphere shown. Give each answer rounded to the nearest cubic unit.
47.
48.
10
Name: ________________________
ID: A
49. The volume of a sphere is 5000 m 3 . What is the surface area of the sphere to the nearest square meter?
50. The volume of a sphere is 1928 m 3 . What is the surface area of the sphere to the nearest tenth?
Are the two figures similar? If so, give the similarity ratio of the smaller figure to the larger figure.
51.
52.
53.
54. Find the similarity ratio of a prism with the surface area of 81 m 2 to a similar prism with the surface area of
361 m2 .
55. Find the similarity ratio of a cube with volume 216 ft 3 to a cube with volume 1000 ft 3 .
56. If the scale factor of two similar solids is 3 : 14, what is the ratio of their corresponding areas? What is the
ratio of their corresponding volumes?
11
Name: ________________________
ID: A
57. A glass vase weighs 0.22 lb. How much does a similarly shaped vase of the same glass weigh if each dimension
is 6 times as large?
58. The surface areas of two similar solids are 384 yd 2 and 1057 yd2 . The volume of the larger solid is 1795 yd 3 .
What is the volume of the smaller solid?
12
ID: A
Geometry M3: Unit 1 Practice Exam
Answer Section
SHORT ANSWER
1. ANS:
60°; 60°
PTS:
OBJ:
STA:
TOP:
KEY:
2. ANS:
3.7 in.
1
DIF: L4
REF: 10-3 Areas of Regular Polygons
10-3.1 Find the area of a regular polygon
MA.912.G.2.5| MA.912.G.2.7| MA.912.G.5.3| MA.912.G.6.1
10-3 Problem 1 Finding Angle Measures
regular polygon | multi-part question | hexagon | radius
DOK: DOK 2
PTS: 1
DIF: L4
REF: 10-3 Areas of Regular Polygons
OBJ: 10-3.1 Find the area of a regular polygon
STA: MA.912.G.2.5| MA.912.G.2.7| MA.912.G.5.3| MA.912.G.6.1
TOP: 10-3 Problem 2 Finding the Area of a Regular Polygon
KEY: regular polygon | hexagon | area | apothem | radius
DOK: DOK 2
3. ANS:
940.5 in.2
PTS:
OBJ:
STA:
TOP:
KEY:
4. ANS:
73.5
1
DIF: L3
REF: 10-3 Areas of Regular Polygons
10-3.1 Find the area of a regular polygon
MA.912.G.2.5| MA.912.G.2.7| MA.912.G.5.3| MA.912.G.6.1
10-3 Problem 2 Finding the Area of a Regular Polygon
regular polygon | area | apothem | radius
DOK: DOK 2
3 cm2
PTS: 1
DIF: L3
REF: 10-3 Areas of Regular Polygons
OBJ: 10-3.1 Find the area of a regular polygon
STA: MA.912.G.2.5| MA.912.G.2.7| MA.912.G.5.3| MA.912.G.6.1
TOP: 10-3 Problem 3 Using Special Triangles to Find Area
KEY: regular polygon | hexagon | area | apothem | radius | word problem | problem solving
DOK: DOK 2
5. ANS:
166.3 m2
PTS:
OBJ:
STA:
TOP:
KEY:
1
DIF: L2
REF: 10-3 Areas of Regular Polygons
10-3.1 Find the area of a regular polygon
MA.912.G.2.5| MA.912.G.2.7| MA.912.G.5.3| MA.912.G.6.1
10-3 Problem 3 Using Special Triangles to Find Area
regular polygon | hexagon | area | apothem | radius
DOK: DOK 2
1
ID: A
6. ANS:
144 3 m2
PTS:
OBJ:
STA:
TOP:
DOK:
7. ANS:
1875
2
1
DIF: L2
REF: 10-3 Areas of Regular Polygons
10-3.1 Find the area of a regular polygon
MA.912.G.2.5| MA.912.G.2.7| MA.912.G.5.3| MA.912.G.6.1
10-3 Problem 3 Using Special Triangles to Find Area
KEY: regular polygon | radius
DOK 2
3 m2
PTS: 1
DIF: L4
REF: 10-3 Areas of Regular Polygons
OBJ: 10-3.1 Find the area of a regular polygon
STA: MA.912.G.2.5| MA.912.G.2.7| MA.912.G.5.3| MA.912.G.6.1
TOP: 10-3 Problem 3 Using Special Triangles to Find Area
KEY: regular polygon | radius | area | perimeter
DOK: DOK 3
8. ANS:
12.96 m2
PTS: 1
DIF: L3
REF: 10-7 Areas of Circles and Sectors
OBJ: 10-7.1 Find the areas of circles, sectors, and segments of circles
STA: MA.912.G.2.7| MA.912.G.6.4| MA.912.G.6.5
TOP: 10-7 Problem 1 Finding the Area of a Circle
KEY: area of a circle | radius
DOK: DOK 2
9. ANS:
4.2025 m2
PTS: 1
DIF: L3
REF: 10-7 Areas of Circles and Sectors
OBJ: 10-7.1 Find the areas of circles, sectors, and segments of circles
STA: MA.912.G.2.7| MA.912.G.6.4| MA.912.G.6.5
TOP: 10-7 Problem 1 Finding the Area of a Circle
KEY: area of a circle | radius
DOK: DOK 2
10. ANS:
97.5 cm2
PTS:
OBJ:
STA:
TOP:
KEY:
DOK:
1
DIF: L4
REF: 10-7 Areas of Circles and Sectors
10-7.1 Find the areas of circles, sectors, and segments of circles
MA.912.G.2.7| MA.912.G.6.4| MA.912.G.6.5
10-7 Problem 1 Finding the Area of a Circle
circumference | radius | diameter | area of a circle | word problem | problem solving
DOK 3
2
ID: A
11. ANS:
74.2 in.2
PTS: 1
DIF: L3
REF: 10-7 Areas of Circles and Sectors
OBJ: 10-7.1 Find the areas of circles, sectors, and segments of circles
STA: MA.912.G.2.7| MA.912.G.6.4| MA.912.G.6.5
TOP: 10-7 Problem 2 Finding the Area of a Sector of a Circle
KEY: sector | circle | area
DOK: DOK 2
12. ANS:
12.3 cm2
PTS:
OBJ:
STA:
TOP:
DOK:
13. ANS:
1
DIF: L3
REF: 10-7 Areas of Circles and Sectors
10-7.1 Find the areas of circles, sectors, and segments of circles
MA.912.G.2.7| MA.912.G.6.4| MA.912.G.6.5
10-7 Problem 2 Finding the Area of a Sector of a Circle
KEY: sector | circle | area | central angle
DOK 2
70 cm2 ; 266 cm2
PTS:
OBJ:
STA:
TOP:
KEY:
DOK:
14. ANS:
1
DIF: L3
REF: 11-2 Surface Areas of Prisms and Cylinders
11-2.1 Find the surface area of a prism and a cylinder
MA.912.G.7.1| MA.912.G.7.5| MA.912.G.7.7
11-2 Problem 2 Using Formulas to Find Surface Area of a Prism
surface area of a prism | lateral area | prism | surface area formulas | surface area | word problem
DOK 2
100 m2 ; 328 m 2
PTS:
OBJ:
STA:
TOP:
KEY:
DOK:
15. ANS:
1
DIF: L2
REF: 11-2 Surface Areas of Prisms and Cylinders
11-2.1 Find the surface area of a prism and a cylinder
MA.912.G.7.1| MA.912.G.7.5| MA.912.G.7.7
11-2 Problem 2 Using Formulas to Find Surface Area of a Prism
surface area formulas | lateral area | surface area | prism | surface area of a prism
DOK 2
322 m2 ; 332 m 2
PTS:
OBJ:
STA:
TOP:
KEY:
DOK:
1
DIF: L4
REF: 11-2 Surface Areas of Prisms and Cylinders
11-2.1 Find the surface area of a prism and a cylinder
MA.912.G.7.1| MA.912.G.7.5| MA.912.G.7.7
11-2 Problem 2 Using Formulas to Find Surface Area of a Prism
surface area formulas | lateral area | surface area | prism | surface area of a prism
DOK 2
3
ID: A
16. ANS:
350 cm2
PTS:
OBJ:
STA:
TOP:
KEY:
DOK:
17. ANS:
1
DIF: L3
REF: 11-2 Surface Areas of Prisms and Cylinders
11-2.1 Find the surface area of a prism and a cylinder
MA.912.G.7.1| MA.912.G.7.5| MA.912.G.7.7
11-2 Problem 3 Finding Surface Area of a Cylinder
surface area of a cylinder | cylinder | surface area formulas | surface area
DOK 2
522 in. 2
PTS:
OBJ:
STA:
TOP:
KEY:
DOK:
18. ANS:
1
DIF: L3
REF: 11-2 Surface Areas of Prisms and Cylinders
11-2.1 Find the surface area of a prism and a cylinder
MA.912.G.7.1| MA.912.G.7.5| MA.912.G.7.7
11-2 Problem 3 Finding Surface Area of a Cylinder
surface area of a cylinder | cylinder | surface area formulas | surface area
DOK 2
3204 in. 2
PTS:
OBJ:
STA:
TOP:
KEY:
DOK:
19. ANS:
1
DIF: L4
REF: 11-2 Surface Areas of Prisms and Cylinders
11-2.1 Find the surface area of a prism and a cylinder
MA.912.G.7.1| MA.912.G.7.5| MA.912.G.7.7
11-2 Problem 3 Finding Surface Area of a Cylinder
surface area of a cylinder | cylinder | surface area formulas | surface area
DOK 2
5616 in. 2
PTS:
OBJ:
STA:
TOP:
KEY:
DOK:
20. ANS:
1
DIF: L3
REF: 11-2 Surface Areas of Prisms and Cylinders
11-2.1 Find the surface area of a prism and a cylinder
MA.912.G.7.1| MA.912.G.7.5| MA.912.G.7.7
11-2 Problem 3 Finding Surface Area of a Cylinder
cylinder | surface area of a cylinder | surface area formulas | surface area | word problem
DOK 2
95 ft 2
PTS:
OBJ:
TOP:
KEY:
DOK:
1
DIF: L3
REF: 11-3 Surface Areas of Pyramids and Cones
11-3.1 Find the surface area of a pyramid and a cone
STA: MA.912.G.7.5| MA.912.G.7.7
11-3 Problem 1 Finding the Surface Area of a Pyramid
surface area of a pyramid | surface area | surface area formulas | pyramid
DOK 2
4
ID: A
21. ANS:
740 m2
PTS: 1
DIF: L3
REF: 11-3 Surface Areas of Pyramids and Cones
OBJ: 11-3.1 Find the surface area of a pyramid and a cone
STA: MA.912.G.7.5| MA.912.G.7.7
TOP: 11-3 Problem 1 Finding the Surface Area of a Pyramid
KEY: surface area of a pyramid | surface area formulas | pyramid
DOK: DOK 2
22. ANS:
6.2 mm
PTS:
OBJ:
TOP:
KEY:
DOK:
23. ANS:
1
DIF: L2
REF: 11-3 Surface Areas of Pyramids and Cones
11-3.1 Find the surface area of a pyramid and a cone
STA: MA.912.G.7.5| MA.912.G.7.7
11-3 Problem 2 Finding the Lateral Area of a Pyramid
pyramid | slant height of a pyramid | Pythagorean Theorem
DOK 2
3564 yd 2
PTS:
OBJ:
TOP:
KEY:
DOK:
24. ANS:
1
DIF: L3
REF: 11-3 Surface Areas of Pyramids and Cones
11-3.1 Find the surface area of a pyramid and a cone
STA: MA.912.G.7.5| MA.912.G.7.7
11-3 Problem 2 Finding the Lateral Area of a Pyramid
slant height of a pyramid | lateral area | pyramid | surface area formulas | Pythagorean Theorem
DOK 2
848.2 cm2
PTS:
OBJ:
TOP:
KEY:
DOK:
25. ANS:
1
DIF: L3
REF: 11-3 Surface Areas of Pyramids and Cones
11-3.1 Find the surface area of a pyramid and a cone
STA: MA.912.G.7.5| MA.912.G.7.7
11-3 Problem 3 Finding the Surface Area of a Cone
surface area of a cone | surface area formulas | surface area | cone
DOK 2
831 m2
PTS:
OBJ:
TOP:
KEY:
DOK:
1
DIF: L3
REF: 11-3 Surface Areas of Pyramids and Cones
11-3.1 Find the surface area of a pyramid and a cone
STA: MA.912.G.7.5| MA.912.G.7.7
11-3 Problem 3 Finding the Surface Area of a Cone
cone | surface area of a cone | problem solving | word problem | surface area formulas | surface area
DOK 2
5
ID: A
26. ANS:
60 cm 2
PTS:
OBJ:
TOP:
KEY:
DOK:
27. ANS:
21 m
1
DIF: L3
REF: 11-3 Surface Areas of Pyramids and Cones
11-3.1 Find the surface area of a pyramid and a cone
STA: MA.912.G.7.5| MA.912.G.7.7
11-3 Problem 3 Finding the Surface Area of a Cone
surface area of a cone | surface area formulas | surface area | cone
DOK 2
PTS:
OBJ:
TOP:
KEY:
28. ANS:
18 cm
1
DIF: L2
REF: 11-3 Surface Areas of Pyramids and Cones
11-3.1 Find the surface area of a pyramid and a cone
STA: MA.912.G.7.5| MA.912.G.7.7
11-3 Problem 4 Finding the Lateral Area of a Cone
cone | slant height of a cone | Pythagorean Theorem
DOK: DOK 2
PTS:
OBJ:
TOP:
KEY:
29. ANS:
1
DIF: L2
REF: 11-3 Surface Areas of Pyramids and Cones
11-3.1 Find the surface area of a pyramid and a cone
STA: MA.912.G.7.5| MA.912.G.7.7
11-3 Problem 4 Finding the Lateral Area of a Cone
cone | lateral area | slant height of a cone
DOK: DOK 2
308.9 cm3
PTS:
OBJ:
STA:
TOP:
KEY:
DOK:
30. ANS:
1
DIF: L3
REF: 11-4 Volumes of Prisms and Cylinders
11-4.1 Find the volume of a prism and the volume of a cylinder
MA.912.G.7.5| MA.912.G.7.7
11-4 Problem 1 Finding the Volume of a Rectangular Prism
volume of a rectangular prism | volume formulas | volume | prism
DOK 2
576 ft 3
PTS:
OBJ:
STA:
TOP:
KEY:
DOK:
1
DIF: L2
REF: 11-4 Volumes of Prisms and Cylinders
11-4.1 Find the volume of a prism and the volume of a cylinder
MA.912.G.7.5| MA.912.G.7.7
11-4 Problem 1 Finding the Volume of a Rectangular Prism
volume of a rectangular prism | volume formulas | volume | prism
DOK 2
6
ID: A
31. ANS:
2046.0 yd 3
PTS: 1
DIF: L3
REF: 11-4 Volumes of Prisms and Cylinders
OBJ: 11-4.1 Find the volume of a prism and the volume of a cylinder
STA: MA.912.G.7.5| MA.912.G.7.7
TOP: 11-4 Problem 2 Finding the Volume of a Triangular Prism
KEY: volume of a triangular prism | volume formulas | volume | prism
DOK: DOK 2
32. ANS:
$164.00
PTS:
OBJ:
STA:
TOP:
KEY:
DOK:
33. ANS:
1
DIF: L4
REF: 11-4 Volumes of Prisms and Cylinders
11-4.1 Find the volume of a prism and the volume of a cylinder
MA.912.G.7.5| MA.912.G.7.7
11-4 Problem 1 Finding the Volume of a Rectangular Prism
volume of a rectangular prism | prism | problem solving | word problem | volume formulas | volume
DOK 2
115.52 m 3
PTS:
OBJ:
STA:
KEY:
34. ANS:
1
DIF: L3
REF: 11-4 Volumes of Prisms and Cylinders
11-4.1 Find the volume of a prism and the volume of a cylinder
MA.912.G.7.5| MA.912.G.7.7
TOP: 11-4 Problem 3 Finding the Volume of a Cylinder
volume of a cylinder | cylinder | volume formulas | volume DOK: DOK 2
350 in. 3
PTS:
OBJ:
STA:
KEY:
35. ANS:
1
DIF: L3
REF: 11-4 Volumes of Prisms and Cylinders
11-4.1 Find the volume of a prism and the volume of a cylinder
MA.912.G.7.5| MA.912.G.7.7
TOP: 11-4 Problem 3 Finding the Volume of a Cylinder
volume of a cylinder | cylinder | volume formulas | volume DOK: DOK 2
944 mm3
PTS: 1
DIF: L4
REF: 11-4 Volumes of Prisms and Cylinders
OBJ: 11-4.1 Find the volume of a prism and the volume of a cylinder
STA: MA.912.G.7.5| MA.912.G.7.7
TOP: 11-4 Problem 4 Finding Volume of a Composite Figure
KEY: volume of a composite figure | cylinder | volume of a cylinder | composite space figure | volume of a
rectangular prism | volume formulas | volume | prism
DOK: DOK 2
7
ID: A
36. ANS:
605 cm3
PTS:
OBJ:
TOP:
KEY:
DOK:
37. ANS:
1
DIF: L2
REF: 11-5 Volumes of Pyramids and Cones
11-5.1 Find the volume of a pyramid and of a cone
STA: MA.912.G.7.5| MA.912.G.7.7
11-5 Problem 1 Finding Volume of a Pyramid
volume of a pyramid | pyramid | volume formulas | volume
DOK 2
1280 ft 3
PTS: 1
DIF: L3
REF: 11-5 Volumes of Pyramids and Cones
OBJ: 11-5.1 Find the volume of a pyramid and of a cone
STA: MA.912.G.7.5| MA.912.G.7.7
TOP: 11-5 Problem 2 Finding the Volume of a Pyramid
KEY: volume of a pyramid | pyramid | volume formulas | volume | height of a pyramid | Pythagorean Theorem
| slant height
DOK: DOK 2
38. ANS:
7,680 cm3
PTS: 1
DIF: L3
REF: 11-5 Volumes of Pyramids and Cones
OBJ: 11-5.1 Find the volume of a pyramid and of a cone
STA: MA.912.G.7.5| MA.912.G.7.7
TOP: 11-5 Problem 2 Finding the Volume of a Pyramid
KEY: volume of a pyramid | pyramid | volume formulas | volume | height of a pyramid | Pythagorean Theorem
| slant height
DOK: DOK 2
39. ANS:
2205.4 m 3
PTS:
OBJ:
TOP:
KEY:
40. ANS:
1
DIF: L3
REF: 11-5 Volumes of Pyramids and Cones
11-5.1 Find the volume of a pyramid and of a cone
STA: MA.912.G.7.5| MA.912.G.7.7
11-5 Problem 3 Finding the Volume of a Cone
volume of a cone | volume formulas | volume | cone
DOK: DOK 2
1139.4 yd 3
PTS:
OBJ:
TOP:
KEY:
1
DIF: L2
REF: 11-5 Volumes of Pyramids and Cones
11-5.1 Find the volume of a pyramid and of a cone
STA: MA.912.G.7.5| MA.912.G.7.7
11-5 Problem 3 Finding the Volume of a Cone
volume of a cone | cone | volume formulas | volume
DOK: DOK 2
8
ID: A
41. ANS:
707.9 in. 3
PTS:
OBJ:
TOP:
KEY:
DOK:
42. ANS:
1
DIF: L3
REF: 11-5 Volumes of Pyramids and Cones
11-5.1 Find the volume of a pyramid and of a cone
STA: MA.912.G.7.5| MA.912.G.7.7
11-5 Problem 4 Finding the Volume of an Oblique Cone
volume of a cone | oblique cone | volume formulas | volume
DOK 2
441 in. 3
PTS:
OBJ:
TOP:
KEY:
DOK:
43. ANS:
1
DIF: L3
REF: 11-5 Volumes of Pyramids and Cones
11-5.1 Find the volume of a pyramid and of a cone
STA: MA.912.G.7.5| MA.912.G.7.7
11-5 Problem 4 Finding the Volume of an Oblique Cone
volume of a cone | oblique cone | volume formulas | volume
DOK 2
14,400 m 2
PTS:
OBJ:
STA:
TOP:
KEY:
DOK:
44. ANS:
1
DIF: L2
REF: 11-6 Surface Areas and Volumes of Spheres
11-6.1 Find the surface area and volume of a sphere
MA.912.G.7.4| MA.912.G.7.5| MA.912.G.7.7
11-6 Problem 1 Finding the Surface Area of a Sphere
surface area of a sphere | surface area formulas | surface area | sphere
DOK 2
196 cm2
PTS:
OBJ:
STA:
TOP:
KEY:
DOK:
45. ANS:
1
DIF: L3
REF: 11-6 Surface Areas and Volumes of Spheres
11-6.1 Find the surface area and volume of a sphere
MA.912.G.7.4| MA.912.G.7.5| MA.912.G.7.7
11-6 Problem 1 Finding the Surface Area of a Sphere
surface area of a sphere | surface area formulas | surface area | sphere
DOK 2
53.8 mm2
PTS:
OBJ:
STA:
TOP:
KEY:
DOK:
1
DIF: L3
REF: 11-6 Surface Areas and Volumes of Spheres
11-6.1 Find the surface area and volume of a sphere
MA.912.G.7.4| MA.912.G.7.5| MA.912.G.7.7
11-6 Problem 2 Finding Surface Area
surface area of a sphere | surface area formulas | surface area | sphere
DOK 2
9
ID: A
46. ANS:
39 cm2
PTS:
OBJ:
STA:
TOP:
KEY:
DOK:
47. ANS:
1
DIF: L3
REF: 11-6 Surface Areas and Volumes of Spheres
11-6.1 Find the surface area and volume of a sphere
MA.912.G.7.4| MA.912.G.7.5| MA.912.G.7.7
11-6 Problem 2 Finding Surface Area
circumference of a circle | surface area of a sphere | surface area | surface area formulas | sphere
DOK 2
3054 mm3
PTS:
OBJ:
STA:
TOP:
KEY:
48. ANS:
1
DIF: L2
REF: 11-6 Surface Areas and Volumes of Spheres
11-6.1 Find the surface area and volume of a sphere
MA.912.G.7.4| MA.912.G.7.5| MA.912.G.7.7
11-6 Problem 3 Finding the Volume of a Sphere
volume of a sphere | sphere | volume formulas | volume
DOK: DOK 2
1,437 cm3
PTS:
OBJ:
STA:
TOP:
KEY:
49. ANS:
1
DIF: L3
REF: 11-6 Surface Areas and Volumes of Spheres
11-6.1 Find the surface area and volume of a sphere
MA.912.G.7.4| MA.912.G.7.5| MA.912.G.7.7
11-6 Problem 3 Finding the Volume of a Sphere
volume of a sphere | sphere | volume formulas | volume
DOK: DOK 2
3033 m 2
PTS: 1
DIF: L3
REF: 11-6 Surface Areas and Volumes of Spheres
OBJ: 11-6.1 Find the surface area and volume of a sphere
STA: MA.912.G.7.4| MA.912.G.7.5| MA.912.G.7.7
TOP: 11-6 Problem 4 Using Volume to Find Surface Area
KEY: surface area of a sphere | problem solving | word problem | sphere | surface area | surface area formulas |
volume
DOK: DOK 2
50. ANS:
1606.9 m 2
PTS: 1
DIF: L3
REF: 11-6 Surface Areas and Volumes of Spheres
OBJ: 11-6.1 Find the surface area and volume of a sphere
STA: MA.912.G.7.4| MA.912.G.7.5| MA.912.G.7.7
TOP: 11-6 Problem 4 Using Volume to Find Surface Area
KEY: surface area of a sphere | problem solving | word problem | sphere | surface area | surface area formulas |
volume
DOK: DOK 2
10
ID: A
51. ANS:
no
PTS: 1
DIF: L3
REF: 11-7 Areas and Volumes of Similar Solids
OBJ: 11-7.1 Compare and find the areas and volumes of similar solids
STA: MA.912.G.7.6
TOP: 11-7 Problem 1 Identifying Similar Solids
KEY: similar solids | similarity ratio | rectangular prism
DOK: DOK 2
52. ANS:
yes; 1 : 3
PTS: 1
DIF: L3
REF: 11-7 Areas and Volumes of Similar Solids
OBJ: 11-7.1 Compare and find the areas and volumes of similar solids
STA: MA.912.G.7.6
TOP: 11-7 Problem 1 Identifying Similar Solids
KEY: similar solids | similarity ratio | rectangular prism
DOK: DOK 2
53. ANS:
yes; 1 : 1.6
PTS:
OBJ:
STA:
KEY:
54. ANS:
9 : 19
1
DIF: L4
REF: 11-7 Areas and Volumes of Similar Solids
11-7.1 Compare and find the areas and volumes of similar solids
MA.912.G.7.6
TOP: 11-7 Problem 1 Identifying Similar Solids
similar solids | similarity ratio | cylinder
DOK: DOK 2
PTS:
OBJ:
STA:
KEY:
55. ANS:
3:5
1
DIF: L3
REF: 11-7 Areas and Volumes of Similar Solids
11-7.1 Compare and find the areas and volumes of similar solids
MA.912.G.7.6
TOP: 11-7 Problem 2 Finding the Scale Factor
similarity ratio | surface areas of similar solids | prism
DOK: DOK 2
PTS: 1
DIF: L3
REF: 11-7 Areas and Volumes of Similar Solids
OBJ: 11-7.1 Compare and find the areas and volumes of similar solids
STA: MA.912.G.7.6
TOP: 11-7 Problem 2 Finding the Scale Factor
KEY: similarity ratio | volumes of similar solids
DOK: DOK 2
56. ANS:
The ratio of their corresponding areas is 9 : 196.
The ratio of their corresponding volumes is 27 : 2744.
PTS:
OBJ:
STA:
KEY:
1
DIF: L2
REF: 11-7 Areas and Volumes of Similar Solids
11-7.1 Compare and find the areas and volumes of similar solids
MA.912.G.7.6
TOP: 11-7 Problem 2 Finding the Scale Factor
similarity ratio | volumes of similar solids
DOK: DOK 1
11
ID: A
57. ANS:
47.52 lb
PTS:
OBJ:
STA:
KEY:
DOK:
58. ANS:
1
DIF: L3
REF: 11-7 Areas and Volumes of Similar Solids
11-7.1 Compare and find the areas and volumes of similar solids
MA.912.G.7.6
TOP: 11-7 Problem 3 Using a Scale Factor
similarity ratio | volumes of similar solids | word problem | problem solving
DOK 2
393 yd 3
PTS:
OBJ:
STA:
KEY:
DOK:
1
DIF: L3
REF: 11-7 Areas and Volumes of Similar Solids
11-7.1 Compare and find the areas and volumes of similar solids
MA.912.G.7.6
TOP: 11-7 Problem 3 Using a Scale Factor
similarity ratio | ratio of surface areas of similar solids | ratio of volumes of similar solids
DOK 2
12