7. 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 a unit square.

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

If an object is solid, and has no gaps, we can use arrays to count the number of blocks.

We can find the volume of a prism of unit cubes by multiplying the number of rows by columns in the face. Then we multiply the answer by the number of sets of these blocks.