The equation above can be used to calculate the volume V, of a pyramid with a height h and base with length l and width w. If the volume of a pyramid is 81inches^3, and l=w=3h, what is the length of the base of the pyramid in inches?
Comment The formula for a pyramid = (1/3) L * W * h The base in this case is square.
Givens L = W W =W L = 3H H = L/3 = (1/3L) V = 81 in^3
Solve V = 1/3 L * W * H V = 1/3 L * L * 1/3 L 81 = 1/9 L^3 Multiply through by 9 81 * 9 = L^3 729 = L^3 Take the cube root of both sides. cube root (L^3) = cube root (729) L = 9 in
