10.06 Story problems with volume or capacity
Are you ready?
Let's review how to convert units of volume and capacity .
Examples
Example 1
Convert 6750 cubic centimetres (\text{cm}^3) to litres (\text{L}).
\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}
Story problems with volume
Let's look at how to solve problems that use volume.
Examples
Example 2
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?
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.
Solve problems with capacity
This video looks at solving problems that involve capacity.
Examples
Example 3
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}?
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.