Standard and composite volume/capacity; Prisms, cylinders, cones, pyramids and spheres; Volume/capacity conversion; Irregular-solid models; Open/closed and composite surface area
Example 1
A triangular prism has triangular cross-section base 4cm, perpendicular height 4cm and length 6cm. Find its volume.
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Answer: 48
- Cross-section area = ½ × base × height. Multiply by prism length.
Example 2
A cone has radius 5cm and perpendicular height 9cm. Find its volume. Round to 2 decimal places.
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Answer: 235.62
- V= ⅓πr2h.
- Rounded result: 235.62.
Example 3
A sphere has radius 4cm. Find its surface area. Round to 2 decimal places.
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Answer: 201.06
- Surface area =4πr2.
- Rounded result: 201.06.