Name: ________________________ Class: ___________________ Date: __________
Geometry DIA #8 - Ch. 10-12
Multiple Choice
Identify the choice that best completes the statement or answers the question.
Find the area. The figure is not drawn to scale.
____ 1. a. 19.25 cm2 b. 12.5 cm2 c. 77 cm2 d. 38.5 cm2
Find the area of the trapezoid. Leave your answer in simplest radical form.
____ 2. a. 19.5 cm2 b. 48 cm2 c. 39 cm2 d. 13 cm2
1
ID: A
Name: ________________________
____ ID: A
3. What is the area of the kite?
a. 108 ft2 b. 54 ft2 c. 12 ft2 d. 48 ft2
____ 4. The area of a regular octagon is 35 cm 2 . What is the area of a regular octagon with sides five times as long?
a. 245 cm2 b. 625 cm2 c. 875 cm2 d. 175 cm2
____ 5. Find the length of XPY . Leave your answer in terms of  .
a. 9 m b. 3 m c. 18 m d. 540 m
____ 6. 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 30 cm. To the nearest tenth, what is the area of the wheel?
a. 71.7 cm2 b. 143.3 cm2 c. 23.6 cm2 d. 286.6 cm2
____ 7. Find the area of the figure to the nearest tenth.
a. 5.5 in.2 b. 8.7 in.2 c. 27.3 in.2 d. 54.5 in.2
____ 8. Mario’s company makes unusually shaped imitation gemstones. One gemstone had 10 faces and 11 vertices. How many edges did the gemstone have?
a. 24 edges b. 19 edges c. 22 edges d. 21 edges
2
Name: ________________________
____ ID: A
9. The radius of the base of a cylinder is 30 m and its height is 42 m. Find the surface area of the cylinder in terms of  .
a. 4392 m2 b. 4290 m2 c. 4320 m 2 d. 4278 m 2
Find the surface area of the pyramid shown to the nearest whole number.
____ 10. a. 412 m 2 b. 430 m 2 c. 264 m2 d. 861 m 2
____ 11. Find the surface area of the cone to the nearest tenth.
a. 229.5 cm2 b. 848.2 cm2 c. 207 cm2 d. 1442 cm2
3
Name: ________________________
ID: A
____ 12. Find the volume of the composite space figure to the nearest whole number.
a. 232 mm3 b. 341 mm3 c. 472 mm3 d. 665 mm3
Find the volume of the square pyramid shown. Round to the nearest tenth if necessary.
____ 13. a. 1152 ft 3 b. 48 ft 3 c. 576 ft 3 d. 384 ft 3
Find the volume of the cone shown as a decimal rounded to the nearest tenth.
____ 14. a. 2269.8 m3 b. 9079.2 m3 c. 1068.1 m3 d. 3404.7 m3
4
Name: ________________________
ID: A
Find the surface area of the sphere with the given dimension. Leave your answer in terms of  .
____ 15. diameter of 12 cm
a. 72 cm2 b. 576 cm2 c. 144 cm2 d. 24 cm2
____ 16. The volume of a sphere is 3000 m 3 . What is the surface area of the sphere to the nearest square meter?
a. 165 m 2 b. 2158 m2 c. 37,699 m2 d. 1079 m2
____ 17. A glass vase weighs 0.25 lb. How much does a similarly shaped vase of the same glass weigh if each dimension is 3 times as large?
a. 6.75 lb b. 2.25 lb c. 20.25 lb d. 0.75 lb
Assume that lines that appear to be tangent are tangent. O is the center of the circle. Find the value of x.
(Figures are not drawn to scale.)
____ 18. mO  138
a. 318 b. 69 c. 42 d. 276
____ 19. BC is tangent to circle A at B and to circle D at C (not drawn to scale). AB = 10, BC = 18, and DC = 2. Find AD to the nearest tenth.
a. 20.6 b. 21.6 c. 18.1 d. 19.7
5
Name: ________________________
ID: A
____ 20. JK , KL, and LJ are all tangent to O (not drawn to scale). JA = 13, AL = 8, and CK = 9. Find the perimeter of JKL.
a. 30 b. 44 c. 60 d. 42
Find the value of x. If necessary, round your answer to the nearest tenth. The figure is not drawn to scale.
____ 21. a. 21.4 b. 22.6 c. 12.1 d. 146
6
Name: ________________________
ID: A
Use the diagram. AB is a diameter, and AB  CD. The figure is not drawn to scale.
____ 22. Find m BD for m AC = 58.
a. 32 b. 116 c. 122 d. 148
____ 23. Find x. (The figure is not drawn to scale.)
a. 21.5 b. 43 c. 86 d. 47
7
Name: ________________________
ID: A
____ 24. mDE  91 and mBC  53. Find mA. (The figure is not drawn to scale.)
a. 38 b. 64.5 c. 19 d. 72
____ 25. Find the value of x for mAB  37 and mCD  43. (The figure is not drawn to scale.)
a. 80 b. 58.5 c. 40 d. 6
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Name: ________________________
ID: A
____ 26. A manufacturer is designing a two-wheeled cart that can maneuver through tight spaces. On one test model, the wheel placement (center) and radius is modeled by the equation (x  2) 2  (y  1) 2  16. What is the graph that shows the position and radius of the wheels?
a. b. c. d. 9
ID: A
Geometry DIA #8 - Ch. 10-12
Answer Section
MULTIPLE CHOICE
1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. 18. 19. 20. 21. 22. 23. 24. 25. 26. A
C
B
C
A
A
C
B
C
B
B
C
D
A
C
B
A
C
D
C
C
C
A
C
C
A
1