Question

The volume of the shape below is 6 square units. Determine the volume of the shape in two different ways.

Answer 1

The volume of the shape is 6 cubic units

How to determine the volume of the shape?

Method 1

From the figure, we can see that:

• There are 6 cubes in the figure
• The dimensions of the cubes are equal
• The volume of each cube is 1 cubic unit

So, the volume of the shape is

Volume = Number of cubes * Volume of each cube

Substitute the known values in the above equation

Volume = 6 * 1

Evaluate

Volume = 6

Method 2

From the figure, we can see that:

• There are 6 cubes in the figure
• 2 cubes at the top and 4 at the bottom
• The dimensions of the cubes are equal
• The volume of each cube is 1 cubic unit

So, the volume of the shape is

Volume = Top cubes +  Bottom cubes

This gives

Volume = 2 * Volume of each cube + 4 * Volume of each cube

Substitute the known values in the above equation

Volume = 2 * 1 + 4 * 1

Evaluate

Volume = 6

Hence, the volume of the shape is 6 cubic units

Read more about volumes at:

brainly.com/question/1972490

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