Question

Find the volume of the triangular prism described below.

The base is a 45°-45°-90° triangle with a leg of 8 in. The height is 1.8 in.

Answer 1

The volume of the rectangular prism is 57.6in³

Explanation:

First of all we need to calculate the area of the triangle, as the triangle has two 45 ° angles this means that it has 2 equal legs

a = area

a = (8in * 8in) / 2

a = 64in²/2

a = 32in²

To calculate the volume of a rectangular prism we have to use the following formula:

a = area = 32 in²

v = volume

h = height = 1.8in

v = a * h

we replace the values that ​​we know

v = 32in² * 1.8in

v = 57.6in³

The volume of the rectangular prism is 57.6in³