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# Geometry

2D shapes of course have area, and 3D shapes volume. How do we find these sizes of shapes? It turns out that they can be calculated if we happen to have a formula1 for them. A formula is a “recipe” for finding properties like area or volume. Here are some formulas:

Area and volume of shapes
2D3D
Rectangle$A=lw$Box$V=lwh$
Square$A=s^2$Cube$V=s^3$
Circle$A=\pi r^2$Ball$V=\frac13\pi r^3$
Triangle$A=\frac12 h l$Pyramid$V=\frac13 h A_{base}$

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