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2 years ago

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

Mathematics

1 answer:

REY [17]2 years ago

5 0

The volume of the shape is 6 cubic units

<h3>How to determine the volume of the shape?</h3>

<u>Method 1</u>

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

<u>Method 2</u>

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

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