We start out with the information we have. This forms a right triangle, with one leg being 24, the other leg x, and the hypotenuse 30. Using the Pythagorean theorem we have
x²+24²=30² x²+576=900
Subtract 576 from both sides: x²+576-576 = 900-576 x²=324
Take the square root of each side: √x²=√324 x=18
We know that the formula for the volume of a triangular prism is V=(1/2bh)H, where b is the base of the triangle, h is the height of the triangle, and H is the height of the prism. Substituting our known information we have:
720=(1/2*18*24)y 720=216y
Divide both sides by 216: 720/216 = 216y/216 3 1/3 = y
This means the product of x and y would be: 18(3 1/3) 18(10/3) 180/3 60
