The base of the pyramid is a rectangle with sides 4 and 6, its volume is 120. Find the height of the pyramid.

From the condition it is known that the base of the pyramid is a rectangle with sides 4 and 6, it is also known that its volume is 120. And we need to find the height of the pyramid.

To find the height of the pyramid, we use the formula to calculate its volume:

V = 1/3 * S_base. * h.

The volume of the pyramid is equal to one third of the product of the base area by the height.

We can find the area of the base as the area of a rectangle:

S = a * b;

S = 4 * 6 = 24 sq. units.

We express the height from the formula:

3V = S_main. * h.

h = 3V / S_base = (3 * 120) / 24 = 360/24 = 15.