Volume of 3D Shapes Quiz

Grade 6 · Math · Quiz

Test your knowledge of volume formulas and calculations for 3D shapes.

Questions

What is the volume of a rectangular prism with l=8, w=3, h=4?
1. 96 cm³
2. 72 cm³
3. 48 cm³
4. 192 cm³
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Answer: 96 cm³
V = 8 × 3 × 4 = 96 cm³.
A cube with side length 5 cm has a volume of ___ cm³.
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Answer: 125
V = 5³ = 5×5×5 = 125 cm³.
V = B × h can be used to find the volume of any prism.
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Answer: True
V = B × h works for any prism — multiply the base area by the height.
A swimming pool is 25 m long, 10 m wide, and 2 m deep. What is its volume?
1. 500 m³
2. 370 m³
3. 250 m³
4. 50 m³
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Answer: 500 m³
V = 25 × 10 × 2 = 500 m³.
A box has volume 180 in³. Its length is 10 in and width is 6 in. What is its height?
1. 3 in
2. 18 in
3. 30 in
4. 12 in
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Answer: 3 in
V = l×w×h → 180 = 10×6×h → 180 = 60h → h = 3 in.
A cube with side 4 cm has a greater volume than a rectangular prism with dimensions 3×3×7 cm.
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Answer: False
Cube: 4³=64 cm³. Rectangular prism: 3×3×7=63 cm³. They're almost equal, but the prism is slightly less.
Volume is always measured in ___ units.
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Answer: cubic
Volume fills 3D space, so units are always cubed: cm³, in³, m³.
Which has the greatest volume?
1. 2×8×5 box
2. 4×4×4 cube
3. 3×6×4 box
4. 10×2×3 box
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Answer: 2×8×5 box
2×8×5=80; 4×4×4=64; 3×6×4=72; 10×2×3=60. The 2×8×5 box has the greatest volume.
A fish tank has a base area of 600 cm² and is 30 cm tall. What is its volume?
1. 18,000 cm³
2. 1,800 cm³
3. 630 cm³
4. 600 cm³
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Answer: 18,000 cm³
V = B × h = 600 × 30 = 18,000 cm³.
Which formula is correct for the volume of a cube with side s?
1. s³
2. 6s²
3. s²
4. 3s
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Answer: s³
A cube has equal side lengths, so V = s × s × s = s³. (6s² is surface area.)

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