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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