Lesson 43: Surface Area — Practice Questions

1. 1. A prism has a base with a perimeter of 25 cm and a height of 9 cm. The lateral surface area of the prism is ___ square cm.

2. 2. To find the lateral surface area of a prism, which two quantities are multiplied together?

   • A. Area of the base and the height
   • B. Perimeter of the base and the height
   • C. Perimeter of the base and the area of the base
   • D. Length of a side and the height

3. 3. The lateral surface area of a prism is 180 square inches and its height is 12 inches. The perimeter of its base must be ___ inches.

4. 4. If the height of a prism is doubled, but the perimeter of its base remains the same, how does its lateral surface area change?

   • A. It stays the same
   • B. It is doubled
   • C. It is quadrupled
   • D. It is halved

5. 5. A rectangular prism has a base with side lengths of 4 ft and 6 ft, and a height of 10 ft. What is its lateral surface area? ___ sq ft.

6. 6. A cube has an edge length of 6 inches. What is its total surface area in square inches? ___

7. 7. A rectangular jewelry box is 8 cm long, 3 cm wide, and 5 cm high. What is the total surface area of the box?

   • A. $79 \text{ cm}^2$
   • B. $110 \text{ cm}^2$
   • C. $158 \text{ cm}^2$
   • D. $120 \text{ cm}^2$

8. 8. A game die is a cube with an edge length of 10 mm. What is its lateral surface area in square millimeters? ___

9. 9. A cereal box is 12 inches tall, 8 inches wide, and 2 inches deep. What is its lateral surface area?

   • A. $272 \text{ in}^2$
   • B. $240 \text{ in}^2$
   • C. $192 \text{ in}^2$
   • D. $48 \text{ in}^2$

10. 10. For any rectangular prism, which of the following is equal to the difference between its total surface area and its lateral surface area?

    • A. The area of the two side faces
    • B. The area of the front and back faces
    • C. The area of the top and bottom faces
    • D. There is no difference