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Rectangular and triangular prisms
Rectangular and triangular prisms
Example 1
A cuboid measures 5cm by 3cm by 4cm. Find its volume, in cm3.
CuboidDiagram not to scaleShow worked answer
Answer: 60
- Multiply the three perpendicular dimensions.
- 5×3×4=60cm3.
Example 2
A right triangular prism has cross-section base 10cm, perpendicular height 6cm and prism length 6cm. Find its volume, in cm3.
Right triangular prismDiagram not to scaleShow worked answer
Answer: 180
- Cross-section area = ½ ×10×6=30cm2.
- Multiply by the prism length: 30×6=180cm3.
Example 3
A right triangular prism has volume 105cm3. Its cross-section has perpendicular base 6cm and height 5cm. Find the prism length x, in cm.
Right triangular prismDiagram not to scaleShow worked answer
Answer: 7
- Cross-section area = ½ ×6×5=15cm2.
- Length =15105=7cm.
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