Summary
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7.5 Summary (EMBJ5)

Area is the two dimensional space inside the boundary of a flat object.

Area formulae:

square: \({s}^{2}\)

rectangle: \(b\times h\)

triangle: \(\frac{1}{2}b\times h\)

trapezium: \(\frac{1}{2}\left(a+b\right)\times h\)

parallelogram: \(b\times h\)

circle: \(\pi {r}^{2}\)


Surface area is the total area of the exposed or outer surfaces of a prism.

A net is the unfolded “plan” of a solid.

Volume is the three dimensional space occupied by an object, or the contents of an object.

Volume of a rectangular prism: \(l\times b\times h\)

Volume of a triangular prism: \(\left(\frac{1}{2}b\times h\right)\times H\)

Volume of a square prism or cube: \({s}^{3}\)

Volume of a cylinder: \(\pi {r}^{2}\times h\)


A pyramid is a geometric solid that has a polygon as its base and sides that converge at a point called the apex. The sides are not perpendicular to the base.

Surface area formulae:

square pyramid: \(b\left(b+2h\right)\)

triangular pyramid: \(\frac{1}{2}b\left({h}_{b}+3{h}_{s}\right)\)

right cone: \(\pi r\left(r+{h}_{s}\right)\)

sphere: \(4\pi {r}^{2}\)


Volume formulae:

square pyramid: \(\frac{1}{3}\times {b}^{2}\times H\)

triangular pyramid: \(\frac{1}{3}\times \frac{1}{2}bh\times H\)

right cone: \(\frac{1}{3}\times \pi {r}^{2}\times H\)

sphere: \(\frac{4}{3}\pi {r}^{3}\)

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