Unit 6 lesson 11

Question

Surface area unit test

Answer 1

1. What is the formula for finding the surface area of a rectangular prism?

A. SA = 2lw + 2lh + 2wh
B. SA = l + w + h
C. SA = lwh
D. SA = lw

Answer: A. SA = 2lw + 2lh + 2wh

2. Find the surface area of a rectangular prism with dimensions 6 cm x 4 cm x 5 cm.

A. 120 cm^2
B. 140 cm^2
C. 150 cm^2
D. 160 cm^2

Answer: C. 150 cm^2

3. What is the formula for finding the surface area of a cube?

A. SA = 6s
B. SA = s^2
C. SA = 3s
D. SA = s

Answer: A. SA = 6s

4. Find the surface area of a cube with a side length of 3 cm.

A. 18 cm^2
B. 24 cm^2
C. 27 cm^2
D. 36 cm^2

Answer: B. 24 cm^2

5. Which of the following shapes has the greatest surface area?

A. Cube with a side length of 5 cm
B. Rectangular prism with dimensions 4 cm x 6 cm x 8 cm
C. Sphere with a radius of 3 cm
D. Pyramid with a base area of 12 cm^2 and a height of 6 cm

Answer: B. Rectangular prism with dimensions 4 cm x 6 cm x 8 cm

6. Explain the difference between surface area and volume.

Surface area is the measurement of the total area of the faces of a 3D shape, while volume is the amount of space inside the 3D shape. Surface area helps us understand how much material is needed to cover the surface of a shape, while volume helps us understand how much space a shape occupies. The units for surface area are squared units (e.g. cm^2), while the units for volume are cubed units (e.g. cm^3).

7. Calculate the surface area of a cylinder with a radius of 4 cm and a height of 6 cm. Use the formula SA = 2πr(r + h).

Answer: SA = 2(π)(4)(4 + 6) = 2(π)(4)(10) = 80π ≈ 251.3 cm^2