Ontario 09 Academic (MPM1D)

Volume of prisms

Lesson

We have been learning about the volume of objects, particularly rectangular prisms, and then prisms more broadly.

Volume of a Prism

$\text{Volume of any prism }=\text{Area of Base }\times\text{Height }$Volume of any prism =Area of Base ×Height

$V=A_b\times h$`V`=`A``b`×`h`

It is probably worthwhile to remind ourselves of the units that are often used for calculations involving volume.

Units for Volume

**cubic millimetres = mm ^{3}**

(picture a cube with side lengths of 1 mm each - pretty small this one!)

**cubic centimetres = cm ^{3}**

(picture a cube with side lengths of 1 cm each - about the size of a dice)

**cubic metres = m ^{3} **

(picture a cube with side lengths of 1 m each - what could be this big?)

AND to convert to **capacity - 1cm ^{3} = 1mL**

Find the volume of the figure shown.

A hole is drilled through a rectangular box forming the solid shown. Find the volume of the solid correct to 2 decimal places.

Solve problems involving the surface areas and volumes of prisms, pyramids, cylinders, cones, and spheres, including composite figures