Name______Date______Per______

Ch 10 Review

Describe the cross section.

____1.

A. / cube / B. / trapezoid / C. / pentagon / D. / square

Use formulas to find the lateral area and surface area of the given prism. Round your answer to the nearest whole number.

____2.

A. / 168 m; 339 m / C. / 456 m; 339 m
B. / 456 m; 510 m / D. / 168 m; 510 m

____3.

A. / 668 m; 704 m / C. / 668 m; 740 m
B. / 645 m; 740 m / D. / 645 m; 812 m

Find the surface area of the cylinder in terms of .

____4.

A. / 180 in. / B. / 200 in. / C. / 380 in. / D. / 230 in.

Find the surface area of the regular pyramid shown to the nearest whole number.

____5.

A. / 165 ft / B. / 95 ft / C. / 70 ft / D. / 28 ft

____6.Find the surface area of the cone in terms of .

A. / 111 cm / B. / 57 cm / C. / 60 cm / D. / 55.5 cm

____7.The lateral area of a cone is 450 cm. The radius is 45 cm. Find the slant height to the nearest tenth.

A. / 13.9 cm / B. / 14.4 cm / C. / 8.3 cm / D. / 10 cm

Find the volume of the given prism. Round to the nearest tenth if necessary.

____8.

A. / 580 ft / B. / 567 ft / C. / 576 ft / D. / 488 ft

____9.

A. / 17 m / B. / 34 m / C. / 8.5 m / D. / 1 m

____10.The volume of a cylinder is 980 in.The height of the cylinder is 20 in. What is the radius of the cylinder?

A. / 7 in. / B. / 49 in. / C. / 327 in. / D. / 18 in.

Find the volume of the cylinder in terms of .

____11.

h = 6 in. and r = 3 in.

A. / 27 in. / B. / 108 in. / C. / 54 in. / D. / 324 in.

____12.Find the height of the cylinder.

A. / 2.4 in. / B. / 7.2 in. / C. / 14.4 / D. / 4.8 in.

Find the volume of the square pyramid shown. Round to the nearest tenth if necessary.

____13.

A. / 126 cm / B. / 907.5 cm / C. / 605 cm / D. / 55 cm

Find the volume of the right cone shown as a decimal rounded to the nearest tenth.

____14.

A. / 8821.6 m / B. / 2205.4 m / C. / 3308.1 m / D. / 980.2 m

____15.Find the surface area of a sphere with a circumference of 13 mm. Round to the nearest tenth.

A. / 4.3 mm / B. / 53.8 mm / C. / 2.1 mm / D. / 26.9 mm

____16.A balloon has a circumference of 11 cm. Use the circumference to approximate the surface area of the balloon to the nearest square centimeter.

A. / 121 cm / B. / 380 cm / C. / 39 cm / D. / 154 cm

Find the volume of the sphere shown. Give each answer rounded to the nearest cubic unit.

____17.

A. / 11,494 cm / B. / 359 cm / C. / 1,437 cm / D. / 205 cm

____ 18. What is the effect on the surface area of a sphere if the radius is divided by 3?

  1. The surface area is divided by 27.
  2. The surface area is divided by 9.
  3. The surface area is divided by 3.
  4. The surface area is divided by 6.

____ 19. A rectangular prism has a volume of 512 cubic inches. What are the possible dimensions?

  1. Length = 12 in, width = 12 in, height= 6 in
  2. Length = 8 in, width = 8 in, height= 6 in
  3. Length = 8 in, width = 8 in, height= 8 in
  4. Length = 10 in, width = 12 in, height= 5 in

____ 20. Which cone has a volume of approximately 50 cubic inches?

  1. I
  2. II
  3. Both
  4. Neither

____ 21.Which figure has a greater volume?

  1. I
  2. II
  3. III
  4. Both have the same volume

____ 22. Ms. Jones is looking to buy a new pool, and wants to compare them. The first pool has a base area of 36π square feet with 3 foot walls. The second pool has a base area of 25 π square feet with 4 foot walls. How many more cubic feet of water in the second pool than the first pool?

  1. 8 π cubic feet
  2. 80 π cubic feet
  3. 25 π cubic feet
  4. 11 π cubic feet

____ 23. If the radius of a cylinder is multiplied by 4 and all other dimensions remain the same, what happens to the volume of the cylinder?

  1. It remains the same.
  2. It multiplies by 4.
  3. It multiplies by 8
  4. It multiplies by 16

____ 24. What is the volume of a hemisphere with a diameter of 8 feet, to the nearest hundredth of a cubic foot?

  1. 2144.66
  2. 268.08
  3. 1365.33
  4. 33.51

____ 25. How many cubical blocks, each with edges of the length 2 centimeters, are needed to fill a rectangular box that has inside dimensions 10 centimeters by 20 centimeters by 6 centimeters?

  1. 150
  2. 300
  3. 50
  4. 100

____ 26.Find the volume of a square pyramid with base side length 8 cm and slant height of 5 cm.

  1. 106.67
  2. 64
  3. 120
  4. 200

____ 27. The volume of a cylinder with a height of 5 in. is 500 in3. Find the surface area in terms of .

  1. 1200
  2. 600
  3. 300
  4. 2500

____ 28. A sphere has a surface area of 144 in3. What is the volume of the sphere in terms of .

  1. 288
  2. 144
  3. 6
  4. 576

Ch. 10 Review Answers

  1. D
  2. D
  3. C
  4. D
  5. B
  6. C
  7. D
  8. C
  9. A
  10. A
  11. C
  12. A
  13. C
  14. D
  15. B
  16. B
  17. C
  18. C
  19. A
  20. C
  21. C
  22. A
  23. A
  24. D
  25. D
  26. A
  27. C
  28. A