Question

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

Answer 1

Answer:

The volume of the pyramid would be 4500 cm³.

Step-by-step explanation:

Formulas you would be using:

Volume of a pyramid: $V = \frac{bh}{3}$  b = base, h = height

Area of a trapezoid: $A = \frac{a+b}{2} h$  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:

$\frac{20+30}{2} (20)$ = 500 cm²

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

$V = \frac{(500)(27)}{3}$ = 4500 cm³

Hope this helps :D