11. 3D Measurement

Lesson

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.

Find the area of the shape below.

Worked Solution

Idea summary

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

This video introduces the unit cube and how it can be used to measure volume (space an object takes up).

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

Worked Solution

Idea summary

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

To find the volume we can count the number of unit squares that fit inside the shape.

What if you cannot see all the blocks? Can we still work out the volume?

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

Worked Solution

Idea summary

A cubic millimetre (\text{mm}^3) is about as big as a grain of sand.

A cubic centimetre (\text{cm}^3) is about as big as the end of your thumb.

A cubic metre (\text{m}^3) is about as big as a washing machine.