Question

The height of a pyramid is 3 meters shorter than the side of the base. The volume is 432m^3. Use V=1/3bh to fide the height.
a 5 b18 c 9 d 12

Answer 1

V = 1/3 * b * h
b = (h+3)*(h+3)
b = h^2+6h+9
V = 1/3*(h^2+6h+9)*h
V = 1/3* (h^3+6h^2+9h)
432*3 = h^3+6h^2+9h
1296=h^3+6h^2+9h
h = 9