Surface Area and Volume of Composite Solids (HSC SSCE Mathematics Standard): Flashcards

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Surface Area and Volume of Composite Solids
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Composite solid definition

3D shape formed by joining two or more basic shapes

Surface area definition

Total area of all outer surfaces

Volume definition

Amount of space occupied by a solid

Combining volumes when shapes are joined

Add the volumes together

Finding volume when shape is removed

Subtract the removed volume

Cylinder volume formula

V=πr2hV = \pi r^2 h

Cone volume formula

V=13πr2hV = \frac{1}{3}\pi r^2 h

Common error in surface area calculations

Forgetting surfaces or counting same surface twice

Handling holes/cut-outs in surface area

Subtract area of removed shape

Volume units

Cubic metres (m³) or cubic centimetres (cm³)

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