Answer:
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,
[tex]V = a^3\\2197 = a^3[/tex]
Taking cube root on both sides
[tex]\sqrt[3]{a^3} = \sqrt[3]{2197}\\\sqrt[3]{a^3} = \sqrt[3]{13^3}\\ a = 13\ feet[/tex]
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.
