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# 7.5 Summary

## 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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