Question

A company designed a cheese container in the shape of a triangular pyramid. The base of the pyramid must have an are of 81 square cm. The finished container must hold 324 cubic cm of cheese. To accomplish this, what is the height of the container?

Answer 1

To find the necessary height of the triangular pyramid you will use the formula for finding the volume of a pyramid and solve for the missing height.

V = 1/3Bh, where B is the area of the base.

324 = 1/3 x 81 x h
324 = 27h
27      27
h = 12 cm

The height of the container must be 12 centimeters.