10. 3D Measurement

Lesson

We have looked at units of volume and units of capacity . It is important that we remember the difference.

What is the most appropriate unit for measuring the volume of a box?

A

\text{ mm}^3

B

\text{ cm}^3

Worked Solution

Choose the most appropriate unit of measure for finding the amount of water in a dam.

A

Millilitres

B

Megalitres

C

Litres

Worked Solution

Idea summary

Volume measures the amount of space an object takes up. Some units are: \text{mm}^3, \,\text{cm}^3, \,\text{m}^3.

Capacity measures the amount of liquid an object can hold. Some units are: \text{mL}, \,\text{L}, \,\text{kL}, \,\text{ML}.

Let's look at how to convert between millilitres (\text{mL}) and cubic centimetres (\text{cm}^3).

Convert 40 millilitres (\text{mL}) to cubic centimetres (\text{cm}^3).

Worked Solution

Idea summary

Below are the conversions between volume and capacity:

\begin{array}{c} &\text{Volume} & &\text{Capacity} \\ &1 \text{ cm}^3 &= &1 \text{ mL} \\ &1000 \text{ cm}^3 &= &1 \text{ L} \\ &1 \text{ m}^3 &= &1000 \text{ L} \\ &1 \text{ m}^3 &= &1 \text{ kL} \\ \end{array}

selects and uses the appropriate unit to estimate, measure and calculate volumes and capacities, and converts between units of capacity