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7 votes
Find the volume of the figure

Find the volume of the figure-example-1
User Alberto Perrella
by
2.8k points

2 Answers

19 votes
19 votes

Answer:

5m³

Explanation:

Hello!

You can picture this rectangular prism as a whole prism with a part removed.

The dimensions of the whole prism are 1.5m, 2m, and 2m.

The part cut out is 1m, 0.5m, and 2m.

We can find the volume of the whole rectangular prism and subtract the volume of the removed part.

Find the volume

  • (1.5 * 2 * 2) - (1 * 0.5 * 2)
  • 6 - 1
  • 5

Since the units of length are meters, the volume should be represented as meters³. The volume is 5m³.

Find the volume of the figure-example-1
User Florian Pilz
by
2.3k points
15 votes
15 votes

Answer: 5 m³

Explanation:

We will break the figure into two different parts.

Volume of a rectangular prism can be found with V = L * W * H

V = L * W * H

V = (2 m) * (1.5 m) * (1.5 m)

V = 4.5 m³

-

V = L * W * H

V = (2 m) * (2 m - 1.5 m) * (0.5 m)

V = 0.5 m³

Now, we will add them together.

4.5 m³ + 0.5 m³ = 5 m³

User Mikola
by
2.7k points