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Surface Area Volume Quiz

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Surface Area Volume Quiz

3D shapes including cube, cylinder, and sphere

📋 Instructions & Learning Goals

I can... calculate surface area and volume of 3D shapes including cubes, rectangular prisms, cylinders, cones, and spheres.

Success Criteria: I will show my work clearly, use correct formulas, and include proper units in my answers.

Instructions: Read each question carefully. Show all work in the space provided. Round decimal answers to the nearest hundredth when needed.

🔢 Part 1: Multiple Choice & Short Answer

1. What is the formula for the volume of a rectangular prism?

V = l × w

V = l × w × h

V = 2(l + w + h)

V = πr²h

2. A cube has a side length of 6 inches. What is its volume?

36 cubic inches

144 cubic inches

216 cubic inches

1,296 cubic inches

3. Which formulas are used to find surface area? (Check all that apply)

SA = 6s² (for a cube)

SA = 2πr² + 2πrh (for a cylinder)

SA = 4πr² (for a sphere)

V = (1/3)πr²h (for a cone)

4. A cylinder has a radius of 4 feet and height of 10 feet. Calculate its volume. Show your work.

Answer: _____________ cubic feet

5. Find the surface area of a rectangular prism with length = 8 cm, width = 5 cm, and height = 3 cm.

Answer: _____________ square centimeters

📝 Part 2: Word Problems & Applications

6. Maria is painting a storage box that is shaped like a cube. Each side of the cube is 4 feet long. How much paint will she need to cover the entire surface? (Find the surface area)

Answer: _____________ square feet

7. A swimming pool is cylindrical with a diameter of 24 feet and a depth of 4 feet. What is the volume of water it can hold?

Answer: _____________ cubic feet

8. A basketball has a radius of 4.7 inches. Calculate its surface area using the formula SA = 4πr².

Answer: _____________ square inches

9. Compare the volumes: Which container holds more? Show your calculations.

Container A: Rectangular prism (6 in × 4 in × 8 in)

Container B: Cylinder (radius = 3 in, height = 8 in)

Container _____ holds more by _____ cubic inches.

10. A cone-shaped party hat has a radius of 3 inches and height of 8 inches. What is its volume? Use V = (1/3)πr²h.

Answer: _____________ cubic inches

11. Extension Challenge: A company packages tennis balls in cylindrical containers. Each ball has a diameter of 2.5 inches. If 3 balls are stacked in the container, what should be the minimum height and radius of the cylinder? Explain your reasoning.
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