Question

A toy is shaped as a triangular prism. The toy has a

base of 108 square inches. What is the height of the toy if
the volume is 729 cubic inches?

Answer 1

`\huge\boxed{\sf h = 6.75 \ in.}`

Explanation:

Given Data:

Base area =
`A_(B)` = 108 in.²

Volume = V = 729 in.³

Required:

Height = h = ?

Formula:

`V=A_(B)h`

Solution:

For h, rearranging formula:

`\displaystyle h = (V)/(A_(B)) \\\\h =(729 \ in.^3)/(108 \ in.^2) \\\\h = 6.75 \ in.\\\\\rule[225]{225}{2}`