Volume (Edexcel GCSE Maths): Flashcards

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Volume
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What does volume measure?

Amount of space a 3D object occupies

Another term for volume

Capacity

Cuboid volume formula

V=L×W×HV = L \times W \times H

Prism volume formula

V=A×LV = A \times L (A=cross-section area, L=length)

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×Vertical heightV = \frac{1}{3} \times \text{Base area} \times \text{Vertical height}

Cone/pyramid vs prism/cylinder volume (same base/height)

One-third the volume

Height type for pyramid/cone volume

Vertical (perpendicular), not slant height

Frustum definition

What remains after cutting top off cone parallel to base

How to calculate frustum volume

Original cone vol. minus removed cone vol.

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