Measurement

NZ Level 2

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.

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

Remember!

Write the units of measurement (e.g. cm^{3}, m^{3}) at the end of your answer to show you have found a volume.

Here is a rectangular prism.

Find its volume.

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

Find the volume of the tank in m

^{3}.

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 wants to arrange a number of tissues boxes on a shelf such that there are no gaps between the boxes or at either end of the shelf.

If the shelf at the supermarket is $95$95 cm long, what is the maximum number of tissues boxes that can be organised in this way?

Partition and/or combine like measures and communicate them, using numbers and units.