A candy 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 PLEASE
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Answer:The volume inside the giant sugar cube is 27 feet³Step-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
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