Given is a Right Triangular Prism whose height is 8 feet, and whose base is a right triangle with legs 4 feet and 6 feet.
To find the volume of the prism, we must find the area of its base. Its base is in shape of right triangle. We know the formula for area of Right triangle is given as follows :-
[tex] Area = \frac{1}{2} bh \\\\
Area = \frac{1}{2} *4*6 \\\\
Area = \frac{24}{2} \\\\
Area = 12 \;\;feet^{2} [/tex]
So Prism's base area, B = 12 squared feet.
and Prism's height, H = 8 feet.
We know the formula for volume of Prism is given as follows :-
Volume of Prism = (Base Area) x (Height of Prism)
Volume = B x H
Volume = 12 feet² x 8 feet
Volume = 96 feet³
Hence, option C is correct i.e. 96 cubic feet.
