Question

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 square of material to build the cube

What is the volume inside the giant sugar cube?

Answer 1

Answer:

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

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