The volume inside the giant sugar cube is of 3.375m³.
To solve this question, we first find the side of the cube, given it's surface area, and with the side, we find the volume.
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Finding the side:
Considering it took 13.5 m² of material to build the cube, we have that it's surface area is of 13.5m².
The surface area of a cube of side s is:
[tex]S_A = 6s^2[/tex]
In this question:
[tex]6s^2 = 13.5[/tex]
[tex]s^2 = \frac{13.5}{6}[/tex]
[tex]s = \sqrt{\frac{13.5}{6}}[/tex]
[tex]s = 1.5[/tex]
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Volume:
The volume of a cube of side s is:
[tex]V = s^3[/tex]
In this question, [tex]s = 1.5[/tex], so:
[tex]V = 1.5^3 = 3.375[/tex]
The volume inside the giant sugar cube is of 3.375m³.
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