Question

A sculpting tool is in the shape of a solid triangular prism. The tool is made of 12 in.3 of metal and is 4 in. Long. What is the height of the base if it is 2 in. Wide?

Answer 1

3 inches

Explanation:

Answer 2

The height of the base if it is 2 in. Wide is 3 inches

Explanation:

Volume of rectangular prism =
`(1)/(2) * Length * Base * Height`

Volume of given rectangular prism =
`12 in^3`

Length of prism = 4 in

Base of prism = 2 in

Substitute the values in formula

So,
`12 = (1)/(2) * 4 * 2 * Height`

`(12 * 2)/(4 * 2)=Height`

3 = Height

Hence the height of the base if it is 2 in. Wide is 3 inches