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.

The volume of the rectangular prism is 57.6in³

Step-by-step 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

it's

the sum of the lengths of any two sides of a triangle is greater than the length of the third side. if you take the three sides of a triangle and add them in pairs, the sum is greater than (not equal to) the third side. if that is not true, then it is not possible to construct a triangle with the given side lengths.

step-by-step explanation: