3D Shapes — Volume (AQA GCSE Maths): Flashcards

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3D shapes — Volume
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Volume definition

Space a 3D shape takes up, measured in cubic units (e.g., cm³, m³)

Prism definition

3D shape with same cross-sectional area throughout its length

Volume formula for any prism

V=A×LV = A \times L

Cylinder volume formula

V=πr2hV = \pi r^2 h

Sphere volume formula

V=43πr3V = \frac{4}{3}\pi r^3

Hemisphere volume formula

V=23πr3V = \frac{2}{3}\pi r^3

Cone volume formula

V=13πr2hV = \frac{1}{3}\pi r^2 h

Pyramid volume formula

V=13×Base Area×hV = \frac{1}{3} \times \text{Base Area} \times h

Frustum definition

Cone with the top chopped off parallel to base

Conversion: 1 litre to cm³

1000 cm³

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