Question

A rectangular pyramid has a volume of 525 cubic feet. It has a base of 25 feet by 18 feet. Find the height of the pyramid.

Volume of a Pyramid: V=1/3Bh

What is the height of the pyramid in cubic feet?

Answer 1

Answer: The height is 3.5 cubic feet

Explanation:

We have to find the area of the base first so multiply 25 and 18 feet together. You will get 450

Now you can make an equation.

525 = (1/3)*450*h

Multiply the 1/3 and the 450 together to get 150

Your equation is now 525 = 150h

Divide 150 on both sides to isolate h

You now have 3.5 = h

Answer 2

The volume of the rectangular pyramid is given as 525 cubic feet, and the base of the pyramid is 25 feet by 18 feet.

We know that the formula for the volume of a pyramid is given as:

V = (1/3)Bh

where V is the volume, B is the area of the base, and h is the height of the pyramid.

So, substituting the given values, we have:

525 = (1/3)(25*18)h

Multiplying both sides by 3, we get:

1575 = 450h

Dividing both sides by 450, we get:

h = 1575/450

Simplifying this, we get:

h = 3.5

Therefore, the height of the pyramid is 3.5 feet.