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

Respuesta :

Answer:

[tex]27ft^3[/tex]

Step-by-step explanation:

The amount of material taken to build the cube is defined as the Surface Area of the Cube.

Total Surface Area =  [tex]54ft^2[/tex]

Now, the total surface area of a cube of length l is determined by using the formula:

T.S.A of a cube= [tex]6l^2[/tex]

[tex]6l^2=54\\l^2=\frac{54}{6} \\l^2=9\\l=\sqrt{9} =3 ft[/tex]

Since length of the cube =3 ft, we can then determine its volume.

Volume of a Cube = [tex]l^3[/tex]

Therefore, Volume of the Sugar Cube=[tex]3^3=27ft^3[/tex]

The volume of the sugar cube is 27 cubic feet.

Step-by-step explanation:

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