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.