Acandy store called "sugar" built a giant hollow sugar cube out of wood to hang above the entrance to their store. it took 54 feet^2 of material to build the cube. what is the volume inside the giant sugar cube? heelp

The volume inside the giant sugar cube is 27 feet³

Step-by-step explanation:

* Lets explain how to solve the problem

- Cube has 6 square faces two bases and four side faces

- The surface area of the cube is the sum of areas of the six faces

- Area of a square with side length s square is s²

- The surface area of the cube is 6 s²

- The volume of the cube is s³

* Lets solve the problem

∵ A giant hollow sugar cube built out of wood

∵ It took 54 feet² of material to build the cube

∵ The surface area of the cube = 6 s²

∴ 6 s² = 54 ⇒ divide both sides by 6

∴ s² = 9 ⇒ take √ for both sides

∴ s = √9 = 3

∴ The length of the side of the cube is 3 feet

∵ The volume of the cube = s³

∴ The volume of the cub = 3³ = 27

∴ The volume inside the giant sugar cube is 27 feet³