A triangular pyramid has a volume of 84 cubic centimeters. The triangular base has a 14-centimeter base and a 8-centimeter height. Find the height of the volume.

4.5 cm.

Step-by-step explanation:

The volume of the pyramid = 1/3 * area of the base * height.

Area of the triangle = 1/2 * base * height

= 1/2 * 14 * 8

= 56 cm^2.

So the volume of the pyramid =

84 = 1/3 * 56 * h

h = 84 / (1/3 * 56)

h = 84 * 3 / 56

= 4.5 cm.