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Rectangular Prisms Volume & Surface

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Rectangular Prisms Volume & Surface Area

3D rectangular prism with labeled dimensions

📐 Part 1: Volume Calculations

Remember: Volume = length × width × height (V = l × w × h)

1. Find the volume of a rectangular prism with length = 8 feet, width = 5 feet, and height = 3 feet.

Volume = ________ cubic feet

2. A storage box measures 12 inches long, 9 inches wide, and 6 inches tall. What is its volume?

Volume = ________ cubic inches

3. Multiple Choice: What is the volume of a rectangular prism with dimensions 4 ft × 7 ft × 2 ft?

56 cubic feet

26 cubic feet

13 cubic feet

112 cubic feet

4. Word Problem: Maria is filling a fish tank that is 24 inches long, 12 inches wide, and 18 inches high. How much water will it hold when completely full?

The tank will hold ________ cubic inches of water.

📦 Part 2: Surface Area Calculations

Remember: Surface Area = 2(lw + lh + wh) where l = length, w = width, h = height

5. Find the surface area of a rectangular prism with length = 6 feet, width = 4 feet, and height = 5 feet.

Surface Area = ________ square feet

6. Multiple Choice: What is the surface area of a box measuring 3 in × 8 in × 2 in?

48 square inches

92 square inches

46 square inches

184 square inches

7. Word Problem: Jake wants to wrap a gift box that measures 10 inches long, 8 inches wide, and 3 inches tall. How much wrapping paper does he need to cover all sides?

Jake needs ________ square inches of wrapping paper.

🧠 Part 3: Challenge Problems

8. A rectangular swimming pool is 25 feet long, 15 feet wide, and 4 feet deep. Find both the volume of water it can hold AND the surface area of the pool walls and bottom (not including the top surface).

Volume = ________ cubic feet

Surface Area (5 faces) = ________ square feet

9. Critical Thinking: If you double each dimension of a rectangular prism, what happens to its volume? Explain your reasoning.
10. Design Challenge: Draw and label a rectangular prism that has a volume of exactly 60 cubic units. Show your dimensions and verify your answer.

My dimensions: length = _____ units, width = _____ units, height = _____ units

Check: _____ × _____ × _____ = _____ cubic units

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