Question

What is the volume in cubic centimeters if the
pyramid has a height of 27 centimeters?

Answer 1

The volume of the pyramid would be 4500 cm³.

Explanation:

Formulas you would be using:

Volume of a pyramid:
`V = (bh)/(3)` b = base, h = height

Area of a trapezoid:
`A = (a+b)/(2) h` a = base₁ , b = base₂ , h = height

First, we're going to find the area of the trapezoid, which is the base of the pyramid.

We are given that a = 20, b = 30, h = 20

Plug it in:

`(20+30)/(2) (20)` = 500 cm²

Now that we have found the base of the pyramid, we can plug it in along with the height of the pyramid.

`V = ((500)(27))/(3)` = 4500 cm³

Hope this helps :D