Question

A prospective buyer wants to know how much grain a specific silo can hold. The area of the floor of the silo is (2x9)^2, and the height of the silo is 10x10, where x is measured in feet. Expand the square and multiply by the height to find the expression that shows how much grain the silo can hold.

Answer 1

To find the expression that shows how much grain the silo can hold, expand the square and multiply it by the height.

Step-by-step explanation:

To find the expression that shows how much grain the silo can hold, we need to expand the square in the expression (2x9)^2 and then multiply it by the height, 10x10.

Expanding the square, we get (2x9)^2 = 4x9^2 = 4x81 = 324.

Multiplying the expanded square by the height, we get 324x10x10 = 32,400x.

Therefore, the expression that shows how much grain the silo can hold is 32,400x.