Chapter 11 Review - Geometry B
Short Answer
1. Use Euler’s Formula to find the missing number.
Edges: 37
Faces: 23
Vertices:
2. Mario’s company makes unusually shaped imitation gemstones. One gemstone had 10 faces and 9 vertices.
How many edges did the gemstone have?
Use formulas to find the lateral area and surface area of the given prism. Show your answer to the
nearest whole number.
3.
4. 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.
5 cm
2.63 cm
13 cm
Not drawn to scale
Find the surface area of the cylinder in terms of
.
5.
18 cm
20 cm
Not drawn to scale
6. The radius of the base of a cylinder is 28 cm and its height is 45 cm. Find the surface area of the cylinder in
terms of .
Find the surface area of the pyramid shown to the nearest whole number.
7.
8. Find the slant height x of the pyramid shown to the nearest tenth.
9. Find the lateral area of the pyramid shown to the nearest whole number.
10. Find the surface area of the cone in terms of
.
Find the volume of the given prism. Round to the nearest tenth if necessary.
11.
12.
Find the volume of the cylinder in terms of
.
13.
14. 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 as necessary.
15.
16.
Find the volume of the cone shown as a decimal rounded to the nearest tenth.
17.
Find the surface area of the sphere with the given dimension. Leave your answer in terms of
.
18. diameter of 12 cm
19. radius of 30 m
Find the volume of the sphere shown. Give each answer rounded to the nearest cubic unit.
20.
Are the two figures similar? If so, give the similarity ratio of the smaller figure to the larger figure.
21.
22. Find the similarity ratio of a cube with volume 729 cm to a cube with volume 2197 cm .
23. Find the similarity ratio of a prism with surface area 49 m to a similar prism with surface area 225 m .
24. The surface areas of two similar solids are 391 yd and 1038 yd . The volume of the larger solid is 1786 yd .
What is the volume of the smaller solid?
25. A glass vase weighs 0.62 lb. How much does a similarly shaped vase of the same glass weigh if each
dimension is 2 times as large?
26. A model is made of a car. The car is 2 meters long and the model is 3 centimeters long. What is the ratio of
the length of the car to the length of the model?
Use compass directions to describe the direction of the vector.
(Not drawn to scale)
N
27.
50°
E
W
S
In the diagram, the dashed figure is the image of the solid figure.
D
R
E
S
C
F
T
28. Name the image of
Q
E.
Find the area. The figure is not drawn to scale.
29.
5 ft
16 ft
30. The area of a regular hexagon is 60 in.2. Find the length of a side. Round your answer to the nearest tenth.
Chapter 11 Review - Geometry B
Answer Section
SHORT ANSWER
1. 16
2. 17 edges
3. 384 m ; 402 m
4. 198 cm ; 224 cm
5. 522
cm
6. 4088
cm
7. 88 ft
8. 5.4 mm
9. 2071 yd
10. 189
cm
11. 1344 ft
12. 2946.2 yd
13. 468
in.
14. 597 mm
15. 1252.3 cm
16. 512 ft
17. 1357.2 yd
18. 144
cm
19. 3,600
m
20.
21.
22.
23.
524 mm
yes; 1: 4
9 : 13
7 : 15
24.
25.
26.
27.
28.
29.
30.
413 yd
4.96 lb
200 : 3
50 west of north
R
40 ft2
4.8 in.