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11 months ago

The volume of the triangular prism is 12.5 m³. The length is 2.5 m and the base is 2 m. What is the width?

Mathematics

1 answer:

Fantom [35]11 months ago

6 0

Answer:

(4) 5 m

Step-by-step explanation:

You want the length of side x of a right triangular prism with base edge lengths of 2.5 m and 2 m, and a volume of 12.5 m³.

<h3>Volume</h3>

The volume of the prism is given by the formula ...

V = Bh

where B is the area of the base:

B = 1/2bh . . . . where b and h are the leg dimensions of the right triangle

Using these formulas together, we have ...

V = 1/2(2.5 m)(2 m)x

12.5 m³ = 2.5x m²

Dividing by 2.5 m², we find x to be ...

(12.5 m³)/(2.5 m²) = x = 5 m

The dimension labeled x has length 5 meters.

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