a shipping crate is a perfect cube with volume of 2,197 cubic feet. the ceiling of the warehouse is 14 feet high. will the crate fit in the warehouse explain why

As the height of warehouse is greater than the height of crate, the crate will fit in the warehouse.

Step-by-step explanation:

Given that

Volume of cube = V = 2197 cubic feet

Side of cube = a =?

Height of ware house = h = 14 feet

In order for the crate to fit in the warehouse the height of crate has to be less than the height of warehouse i.e. a<h

In order to check this we have to find the side/height of crate

So,

Taking cube root on both sides

So the height of cube is 13 feet.

Comparing the height of c and height of ware house we can conclude that

Height of Warehouse > Height of crate

h>a

14>13

As the height of warehouse is greater than the height of crate, the crate will fit in the warehouse.