Question

How to find height of a triangular prism where length is 9, width is 3.5, and height is unknown. Volume is 50.4, and explain answer.

Answer 1

*The width in your question - I assumed it is refers to the height of the triangle base.

Volume of a triangle prism = base area x height

The base is a triangle:
Volume of a triangle prism = (1/2 x base x height₁) x height₂

Plug in the values and solve for height₂:

50.4 = (1/2 x 9 x 3.5) x height

50.4 = 15.75 x height

height = 50.4 ÷ 15.75

height = 3.2 units

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Answer: Height = 3.2 units
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