ChatGPT4 | Midjourney:
Okay, here are 40 multiple-choice questions covering the surface area and volume of prisms and
cylinders. Choose the best answer for each. Good luck!
Surface Area & Volume: Prisms and Cylinders - Multiple Choice
1. The lateral surface area of a prism is the sum of the areas of the:
(a) bases (b) faces (c) non-base faces (d) all faces
2. The formula for the surface area of a right prism is SA = 2B + Ph, where B is the area of the base, P is
the perimeter of the base, and h is the:
(a) slant height (b) radius (c) height of the prism (d) diameter
3. The formula for the volume of any prism is V = Bh, where B is the area of the base, and h is the:
(a) height of the base (b) slant height (c) height of the prism (d) perimeter of the base
4. The surface area of a cylinder is given by SA = 2πr² + 2πrh, where r is the radius and h is the:
(a) slant height (b) diameter (c) height of the cylinder (d) circumference
5. The volume of a cylinder is given by V = πr²h, where r is the radius and h is the:
(a) diameter (b) height of the cylinder (c) circumference (d) slant height
6. A rectangular prism has dimensions 3 cm x 4 cm x 5 cm. What is its volume?
(a) 12 cm³ (b) 20 cm³ (c) 60 cm³ (d) 47 cm³
7. A cube has sides of length 6 inches. What is its surface area?
(a) 36 in² (b) 144 in² (c) 216 in² (d) 288 in²
8. A cylinder has a radius of 2 meters and a height of 5 meters. What is its volume? (Use π ≈ 3.14)
(a) 20 m³ (b) 62.8 m³ (c) 25.12 m³ (d) 125.6 m³
9. A triangular prism has a base that is a right triangle with legs of 3 ft and 4 ft. The height of the prism is
10 ft. What is its volume?
(a) 30 ft³ (b) 60 ft³ (c) 120 ft³ (d) 34 ft³
10. A cylinder has a diameter of 10 cm and a height of 8 cm. What is its lateral surface area? (Use π ≈
3.14)
(a) 251.2 cm² (b) 80 cm² (c) 160 cm² (d) 502.4 cm²
11. What is the area of the base of the cylinder if the radius of the base is 4 inches?
(a) 8π inches^2 (b) 16π inches^2 (c) 4π inches^2 (d) 64π inches^2
12. What is the surface area of a cube with side length 5cm?
(a) 25cm^2 (b) 100cm^2 (c) 150cm^2 (d) 125cm^2
13. The volume of a rectangular prism is 240 cubic inches. If the length is 8 inches and the width is 5
inches, what is the height?
(a) 4 inches (b) 6 inches (c) 12 inches (d) 48 inches
14. A cylinder has a volume of 100π cubic cm and a height of 4 cm. What is the radius of the base?
(a) 5 cm (b) 10 cm (c) 25 cm (d) 2.5 cm
15. The base of a prism is a square with side length 7 cm. The height of the prism is 12 cm. What is the
volume?
(a) 84 cm³ (b) 196 cm³ (c) 588 cm³ (d) 336 cm³
16. A triangular prism has a volume of 48 cubic meters. The area of the triangular base is 8 square
meters. What is the height of the prism?
(a) 4 m (b) 6 m (c) 8 m (d) 12 m
17. The surface area of a cylinder is 80π square inches. The radius of the base is 4 inches. What is the
height?
(a) 6 in (b) 8 in (c) 10 in (d) 12 in
18. If the dimensions of a rectangular prism are doubled, what happens to the volume?
(a) It doubles (b) It triples (c) It quadruples (d) It is multiplied by 8
19. If the radius of a cylinder is doubled, what happens to the volume? (Assume the height remains
constant).
(a) It doubles (b) It triples (c) It quadruples (d) It is multiplied by 8
20. What is the total surface area of a cylinder with radius 3 and height 7?
(a) 42π (b) 60π (c) 21π (d) 100π
21. A regular hexagonal prism has a base area of 50 square cm and a height of 10 cm. What is its
volume?
(a) 5 cm³ (b) 500 cm³ (c) 60 cm³ (d) 250 cm³
22. A rectangular prism is 2 feet wide, 6 feet long and 4 feet high. What is the surface area of the prism?
(a) 48 (b) 56 (c) 88 (d) 104
23. Which of the following is NOT a property of a prism?
(a) Two parallel bases (b) Lateral faces are rectangles (c) Bases are congruent polygons (d) Curved
surfaces
24. What is the formula for lateral surface area of a prism?
(a) SA = Ph (b) SA= 2B+PH (c) SA = πr^2h (d) SA = 4πr^2
25. A swimming pool is shaped like a rectangular prism. It is 20 feet long, 10 feet wide, and 6 feet deep.
How many cub
ic feet of water are needed to fill the pool?
(a) 1200 (b) 360 (c) 600 (d) 1800
26. A triangular prism has a base that is a right triangle with legs of 6 cm and 8 cm. The height of the
prism is 15 cm. What is the total surface area of the prism?
(a) 312 cm² (b) 384 cm² (c) 420 cm² (d) 432 cm²
27. What is the volume of a cylinder with a radius of 5 inches and a height of 12 inches?
(a) 30π in^3 (b) 300π in^3 (c) 60π in^3 (d) 330π in^3
28. The volume of a prism is 288 cm³. If the area of the base is 36 cm², what is the height of the prism?
(a) 6 cm (b) 7cm (c) 8 cm (d) 9 cm
29. What is the surface area of a cylinder with radius 2 and height 10?
(a) 24π (b) 40π (c) 48π (d) 68π
30. If the radius and height of a cylinder are both tripled, the volume will be multiplied by:
(a) 3 (b) 6 (c) 9 (d) 27
31. A soup can has a diameter of 7 cm and a height of 10 cm. How much paper is needed to make the
label (lateral surface area)? (Use π ≈ 3.14)
(a) 70 cm² (b) 219.8 cm² (c) 384.65 cm² (d) 439.6 cm²
32. What is the formula for calculating the volume of a cylinder?
(a) V = Bh (b) V = πr^2 h (c) V = lwh (d) all of the above
33. If the area of the square base of a prism is 16 cm² and the height is 5cm, what is the volume?
(a) 21cm^3 (b) 80cm^3 (c) 320cm^3 (d) 64cm^3
34. The radius of a cylinder is 3 cm, and the height is 8 cm. Find the volume of the cylinder.
(a) 72π cm^3 (b) 24π cm^3 (c) 144π cm^3 (d) 48π cm^3
35. A right prism has an equilateral triangular base with a side length of 4 inches and a height of 6
inches. What is the lateral area of the prism?
(a) 144 square inches (b) 72 square inches (c) 24 square inches (d) 96 square inches
36. Find the volume of a rectangular prism with a length of 10 cm, width of 6 cm, and height of 4 cm.
(a) 60 cm^3 (b) 240 cm^3 (c) 360 cm^3 (d) 480 cm^3
37. The volume of a cube is 64 cubic inches. What is the length of each edge of the cube?
(a) 2 inches (b) 4 inches (c) 8 inches (d) 16 inches
38. The perimeter of a square base of a prism is 20 cm and the height of the prism is 8 cm. What is the
lateral surface area?
(a) 40 cm^2 (b) 160 cm^2 (c) 320 cm^2 (d) 80 cm^2
39. A cylinder has a volume of 200π cubic units and a radius of 5 units. What is the height of the
cylinder?
(a) 4 units (b) 8 units (c) 12 units (d) 16 units
40. If you double the dimensions of a rectangular prism, how many times larger will the surface area be?
(a) 2 times (b) 4 times (c) 6 times (d) 8 times
Answer Key:
1. (c)
2. (c)
3. (c)
4. (c)
5. (b)
6. (c)
7. (c)
8. (b)
9. (b)
10. (a)
11. (b)
12. (c)
13. (b)
14. (a)
15. (c)
16. (b)
17. (a)
18. (d)
19. (c)
20. (b)
21. (b)
22. (d)
23. (d)
24. (a)
25. (a)
26. (b)
27. (b)
28. (c)
29. (c)
30. (d)
31. (b)
32. (d)
33. (b)
34. (a)
35. (b)
36. (b)
37. (b)
38. (b)
39. (b)
40. (b)
