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Prism volumes and capacity
Prism volumes and capacity
Example 1
A cuboid measures 4cm by 2cm by 3cm. Find its volume, in cm3.
CuboidDiagram not to scaleShow worked answer
Answer: 24
- Multiply the three perpendicular dimensions.
- 4×2×3=24cm3.
Example 2
A right triangular prism has cross-section base 8cm, perpendicular height 5cm and prism length 6cm. Find its volume, in cm3.
Right triangular prismDiagram not to scaleShow worked answer
Answer: 120
- Cross-section area = ½ ×8×5=20cm2.
- Multiply by the prism length: 20×6=120cm3.
Example 3
A right triangular prism has volume 80cm3. Its cross-section has perpendicular base 8cm and height 4cm. Find the prism length x, in cm.
Right triangular prismDiagram not to scaleShow worked answer
Answer: 5
- Cross-section area = ½ ×8×4=16cm2.
- Length =1680=5cm.
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