Question

The base is a right triangle with a leg of 12 in. and hypotenuse of 15 in.

The height of the prism is 10 in.what is the volume

Answer 1

V = 540 inches ^3

Explanation:

The area of the base is found be finding the other leg

a^2 +b^2 = c^2

12^2+b^2 = 15^2

144 +b^2 = 225

b^2 = 225-144

b^2=81

Take the square root of each side

b = 9

We can find the area of the triangle

B = 1/2 (9*12)

B =54

The Volume is given by

V = Bh

V = 54*10

V = 540 inches ^3