Measurement

NZ Level 5

Volume of Prisms I

Lesson

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

Volume of 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 cube shown.

Find the volume of the rectangular prism shown.

Find the volume of the prism by finding the base area first.

Find the perimeters and areas of circles and composite shapes and the volumes of prisms, including cylinders