10. 3D Measurement

Lesson

Let's review how to convert units of volume and capacity .

Convert 6750 cubic centimetres (\text{cm}^3) to litres (\text{L}).

Worked Solution

Idea summary

\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}

Let's look at how to solve problems that use volume.

The school is adding new wood chips to the playground. The playground needs 6.5 \text{ m}^3 of wood chips. The wood chips cost \$350 for 1 \text{ m}^3. What is the total cost of the wood chips?

Worked Solution

Idea summary

We can use vertical algorithms to help solve story problems with volume.

If the units used in the problem are not all the same, we will need to convert between units of volume.

This video looks at solving problems that involve capacity.

100 \text{ mL} of orange juice, 140 \text{ mL} of pineapple juice and 300 \text{ mL} of soda water are used to make a punch.

Will the entire mixed punch fit into a container with a capacity of 650 \text{ mL}?

Worked Solution

Idea summary

If we have objects that use the same unit for volume, such as\text{ m}^3, we can add the numbers together to get a total volume. When we need to add the capacity of objects together, we also need to make sure they are using the same unit for capacity.

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