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?

Respuesta :

Answer:

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

Step-by-step 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:  [tex]S= 6a^2[/tex] , where [tex]a[/tex] is the length of each edge of the cube.

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

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

Now, the volume of the cube will be:  [tex]V= a^3= (3)^3 = 27[/tex] feet³

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

ACCESS MORE