Class V

Volume Problems

Lesson

Volume is the measure of the space inside a 3 dimensional (solid) shape.

To calculate the volume of cubes or rectangular prisms

$\text{Volume }$Volume $=$= $\text{length }$length $\times$× $\text{width }$width $\times$× $\text{height }$height

We used the applet below to see how the volume of a 3D shape can change and practice calculating what the volume would be.

Created with Geogebra

Watch this video to see how to solve problems involving volume.

Remember!

Write the units of measurement (e.g. cm³, m³) at the end of your answer to show you have found a volume.

Here is a rectangular prism.

A $tank$ has a length of $7$7 m, width of $2$2 m and depth of $6$6 m.

A box of $tissues$ is in the shape of a rectangular prism. It measures $19$19 cm by $39$39 cm by $11$11 cm.

What is the volume of the box?
A $supermarket$ owner places $tissues$ boxes on a shelf so that there are no gaps between the boxes or at the ends of the shelf.

If the shelf is $95$95 cm long, how many $tissues$ boxes can be organised in this way?

(Make sure the orientation of the boxes leaves no gaps.)

Uses decimal fractions (1/10, 1/100) in the context of units of length and money, weight, temp

Applies the four operations in solving problems involving length, weight and volume.

Relates commonly used larger and smaller units of length, weight and volume and converts one to the other.

Appreciates volume of a solid body: intuitively and also by informal measurement.