Volume of Rectangular Prisms — Answer Key
Part A: Multiple Choice
Circle the best answer for each question.
1. A shipping box is 12 in × 8 in × 6 in. How many 2-inch cubes fit inside?
A) 72
B) 48
C) 36
D) 288
Box volume: 12×8×6=576. Each 2-inch cube: 2×2×2=8. Cubes: 576÷8=72.
2. A pool is 10 m × 4 m × 2 m. How many cubic meters of water does it hold?
A) 60 m³
B) 80 m³
C) 40 m³
D) 16 m³
V = 10 × 4 × 2 = 80 m³.
3. A cereal box is 30×8×20 cm. A bowl holds 600 cm³. How many full bowls can be filled?
A) 6
B) 8
C) 10
D) 4
Box: 30×8×20=4,800. Bowls: 4,800÷600=8.
4. A sandbox is 6 ft × 4 ft × 1 ft. Sand costs $3 per cubic foot. Total cost to fill?
A) $24
B) $72
C) $48
D) $36
Volume: 6×4×1=24 ft³. Cost: 24×$3=$72.
Part B: Fill in the Blank
Write the correct answer on each line.
1. A toy chest is 3 ft × 2 ft × 2 ft. It can hold 12 cubic feet of items.
V = 3 × 2 × 2 = 12 ft³.
2. A planter box is 40 cm × 20 cm × 15 cm. It needs 12,000 cm³ of soil to fill.
V = 40 × 20 × 15 = 12,000 cm³.
3. A crate holds 180 in³. Each block is 3×2×1 in. The crate fits 30 blocks.
Block volume: 3×2×1=6 in³. Blocks: 180÷6=30.
4. A fish tank is 24 in × 12 in × 10 in. Its volume is 2,880 in³.
V = 24 × 12 × 10 = 2,880 in³.
5. A moving box is 2 ft × 2 ft × 3 ft. Three such boxes hold 36 ft³ total.
One box: 2×2×3=12 ft³. Three boxes: 12×3=36 ft³.