Question

Ryan’s final art project is a square pyramid with a height of 11 cm. Ryan used 297 cm3 of clay to make his pyramid. What is the length of one side of the base of the pyramid?

Answer 1

B. 9 cm

Explanation:

Answer 2

Each side of the base is nine centimeters long.

The formula for the area of a square pyramid with side-length s and height h is
`(s^2h)/(3)`, so we have that
`(11s^2)/(3) = 297`. Multiplying by 3/11, we see that
`s^2 = 81`, so, since s must be positive, we have
`s=9`. This means that the side-length of the pyramid is nine centimeters.