Year 10

Composite solids and inverse dimensions

Free examples and worked answers. No account needed.

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Practise the method.

Example 1

Joined cuboids — front cross-section
Joined cuboids — front cross-sectionTwo joined, non-overlapping cuboids: lower 8 cm × 4 cm × 9 cm; upper 3 cm × 4 cm × 3 cm. Shared depth 4 cm. Diagram not to scale. Use the labelled measurements.3 cm8 cm9 cm3 cmDepth 4 cm
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Answer:

Example 2

L-shaped prism
L-shaped prismAn L-shaped cross-section extruded to depth 5 cm. Overall width 9 cm, height 8 cm; rectangular cut-out width 3 cm, height 3 cm. Diagram not to scale. Use the labelled measurements.9 cm8 cm3 cm3 cmDepth 5 cm
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Answer:

Example 3

Hollow cylinder
Hollow cylinderHollow cylinder, outer radius 8 cm, inner radius 6 cm, height 7 cm. The hole runs through the full height. Diagram not to scale. Use the labelled measurements.8 cm7 cmInner radius 6 cm
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Answer: