Question

A candy store called "Sugar" built a giant sugar cube out of wood to hang above the entrance to their store. It took 545454 feet^2 ​2 ​​ start superscript, 2, end superscript of material to build the cube. What is the volume inside the giant sugar cube?

Answer 1

The volume inside the giant sugar cube is 27 cubic feet.

Explanation:

It took 54 feet² of material to build the giant sugar cube. That means, the total surface area of the cube is 54 feet²

Formula for surface area of a cube is:
`S= 6a^2` , where
`a` is the length of each edge of the cube.

So, we will get.........

`6a^2=54\\ \\ a^2= (54)/(6)=9 \\ \\a= √(9)= 3`

Now, the volume of the cube will be:
`V= a^3= (3)^3 = 27` feet³

Thus, the volume inside the giant sugar cube is 27 cubic feet.