Class IX

Volume of Prisms II

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

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

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 two decimal places.

Surface areas and volumes of cubes, cuboids, spheres (including hemispheres) and right circular cylinders/cones.