Question

Find the volume?? Of the triangular prism

Answer 1

Answer: the volume of the prism is 62.35 mi cube

Explanation:

so first we will find the area of triangular base of the prism, using heron formula.

and s(semi-perimeter)= a+b+c/2= 6+8+10/2= 24/2=12

Area of triangle= A = sqrt [s(s-a)(s-b)(s-c)] = sqrt {12*(12-6)(12-8)(12-10)} = sqrt {6*4*2} = sqrt (48)= 6.92 mi square

Volume = Area x Height

V= 6.92 x 9 = 62.35 mi cube.

Answer 2

216 mi^3

Explanation:

First of all you need to find the area of the base (or top, they are the same)

It is a right-angled triangle, you can simply calculate the area of the base by

A = 6*8/2 = 24 mi^2

The volume of prism is (base area)*height

volume = 24*9 = 216 mi^3

10 is redundant anyway