The volume of the prism is 900 cubic centimeters. The height is 15 cm and the height of the triangular base is 10 cm. What is the length of FC

the length of FC = b = 12 cm

Step-by-step explanation:

The volume of prism is given along with height and height of triangular base. WE need to find the length of base.

V = B*h

where B = area of base = 1/2 * b * h

V = (1/2 * b * h) * h

900 = 1/2 * b * 10 * 15

900 * 2 = b * 150

1800 = b * 150

=> b = 1800/150

b = 12 cm

So the length of FC = b = 12 cm

12 cm