Solve problems involving the volume of three-dimensional shapes

Volume of Three-Dimensional Shapes

6.4

Volume of Three-Dimensional Shapes

	Definition

	It is the measure of the amount of space it occupies. The shape is measured in cubic unit such as cubic millimetre \((\text{mm}^3)\), cubic centimetre \((\text{cm}^3)\) or cubic metre \((\text{m}^3)\).

Shape	Volume
Prism	\( V=A_\text{cross section} \times h\)
Cylinder	\(V= \pi r^2 h \)
Pyramid	\(V = \dfrac{1}{3} \times A_{\text{base}} \times h\)
Cone	\(V= \dfrac{1}{3} \times \pi r^2 h\)

Volume of Three-Dimensional Shapes

6.4

Volume of Three-Dimensional Shapes

	Definition

	It is the measure of the amount of space it occupies. The shape is measured in cubic unit such as cubic millimetre \((\text{mm}^3)\), cubic centimetre \((\text{cm}^3)\) or cubic metre \((\text{m}^3)\).

Shape	Volume
Prism	\( V=A_\text{cross section} \times h\)
Cylinder	\(V= \pi r^2 h \)
Pyramid	\(V = \dfrac{1}{3} \times A_{\text{base}} \times h\)
Cone	\(V= \dfrac{1}{3} \times \pi r^2 h\)