Volume of Rectangular Prisms Quiz

Grade 5 · Math · Quiz

Practice calculating and applying the volume formula for rectangular prisms.

Questions

What is the volume of a prism with l=5, w=4, h=3?
1. 12 units³
2. 47 units³
3. 60 units³
4. 20 units³
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Answer: 60 units³
V = 5 × 4 × 3 = 60 cubic units.
A cube has a side length of 7 cm. What is its volume?
1. 49 cm³
2. 343 cm³
3. 21 cm³
4. 147 cm³
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Answer: 343 cm³
V = 7 × 7 × 7 = 343 cm³.
A box has volume 120 cm³, length 10 cm, and width 4 cm. What is the height?
1. 3 cm
2. 8 cm
3. 30 cm
4. 4.8 cm
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Answer: 3 cm
h = V ÷ (l × w) = 120 ÷ (10 × 4) = 120 ÷ 40 = 3 cm.
Which unit correctly expresses volume?
1. cm
2. cm²
3. cm³
4. cm⁴
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Answer: cm³
Volume is three-dimensional and is expressed in cubic units such as cm³.
A swimming pool is 25 m long, 10 m wide, and 2 m deep. What is its volume?
1. 500 m³
2. 5,000 m³
3. 250 m³
4. 50 m³
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Answer: 500 m³
V = 25 × 10 × 2 = 500 m³.
V = l × w × h. If l=9, w=2, h=5, V = ___
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Answer: 90
9 × 2 × 5 = 90 cubic units.
A box holds 200 cm³. It is 10 cm long and 5 cm wide. Height = ___
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Answer: 4 cm
h = 200 ÷ (10 × 5) = 200 ÷ 50 = 4 cm.
A cube with side 4 m has volume = ___
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Answer: 64 m³
4 × 4 × 4 = 64 m³.
Two rectangular prisms: Prism A is 6×4×3 and Prism B is 4×4×4. Which has greater volume?
1. Prism A (72 units³)
2. Prism B (64 units³)
3. They are equal
4. Cannot tell
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Answer: Prism A (72 units³)
Prism A: 6×4×3 = 72 units³. Prism B: 4×4×4 = 64 units³. Prism A is larger.
How many 1 cm³ unit cubes fit in a box that is 3 cm × 4 cm × 2 cm?
1. 9
2. 24
3. 18
4. 12
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Answer: 24
Volume = 3 × 4 × 2 = 24, so 24 unit cubes fit exactly.

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