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

V = 540 inches ^3

Step-by-step 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