 # 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. cm3, m3) at the end of your answer to show you have found a volume.

#### Worked Examples:

##### QUESTION 1

Here is a rectangular prism. 1. Find its volume.

##### QUESTION 2

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

1. Find the volume of the tank in m3.

##### QUESTION 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.

1. What is the volume of the box?

2. 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.)

### Outcomes

#### GM4-1

Use appropriate scales, devices, and metric units for length, area, volume and capacity, weight (mass), temperature, angle, and time