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8.08 Find volumes using unit cubes

Lesson

Are you ready?

We have counted squares to  find the area of a shape  and can use that to help us find the volume in this lesson. Let's try this problem to review.

Examples

Example 1

Find the area of the shape below.

The image shows an L shape made up of 5 squares. Ask your teacher for more information.
Worked Solution
Create a strategy

Count the total number of squares.

Apply the idea

There are 5 square inside the shape.

\text{ Area }= 5\, \text{units}^2

Idea summary

To find the amount of space a shape takes up, we can use a unit square.

Volume with unit cubes

Let's see how we use unit cubes to find the volume of shapes.

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Examples

Example 2

In this figure, 1\text{ block}=1\text{ cm}^3. What is the volume of the solid figure?

An array of cubes with 2 rows and 5 columns.
Worked Solution
Create a strategy

Count the total number of blocks.

Apply the idea

There are 10 blocks in the solid.

\text{Volume}=10\text{ cm}^3

Idea summary

Volume means the amount of space a 3D shape takes up.

Outcomes

MA2-11MG

measures, records, compares and estimates volumes and capacities using litres, millilitres and cubic centimetres

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