Volume of prisms

Lesson

Revision of Volume of Prisms

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=Ab×h

Units for Volume

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

Units for Volume

cubic millimetres = mm3

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

cubic centimetres = cm3

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

cubic metres = m3

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

AND to convert to capacity - 1cm3 = 1mL

Worked Examples

QUEstion 1

Find the volume of the figure shown.

question 2

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

Outcomes

9P.MG2.05

Solve problems involving the volumes of prisms, pyramids, cylinders, cones, and spheres