# Six square-based pyramids fit exactly onto the six faces of a cube with sides of 4 cm. lf the volume of the figure formed is 256 cu. cm, how do you find the height of each pyramid?

##### 1 Answer

Nov 28, 2016

The height is

#### Explanation:

If we denote:

The total volume can be calculated as:

Knowing that the total volume is

If we divide both sides by

Answer: **The heigt of the pyramid is #6cm#**