A triangular prism has a triangular face with a base of 13.5 feet and a height of 18 feet. Its volume is 2,187 cubic feet. What is the length of the triangular prism?

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07-04-2021
Mathematics

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A triangular prism has a triangular face with a base of 13.5 feet and a height of 18 feet. Its volume is 2,187 cubic feet. What is the length of the triangular prism?

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Kayla4320idn Kayla4320idn · Answer 1 · 2021-04-07T20:30:33-04:00

Kayla4320idn Kayla4320idn

07-04-2021

Answer:

The prism has a length x and a width x. Since it is a square at the base both length and width are the same amount x. The height is "half the length of one edge of the base". Since the base is x, this makes it 1/2x.

The volume's prism is found using V = l*w*h. Substitute and simplify.

13.5 = x*x*1/2x

13.5 = 1/2 x^3

27 = x^3

3 = x

The prism is 3 by 3 by 1.5.

Step-by-step explanation:

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