Answer:
The volume of sugar cube is 27 cubic feet.
Step-by-step explanation:
We are given the following:
Material require to built the cube = 54 square feet
[tex]\text{Material require to built the cube} = \text{Surface area of cube} = 6l^2\\\text{where l is the length of the cube}\\\Rightarrow 6l^2 = 54\\l^2 = 9\\l =3[/tex]
Thus,
Length of side of cube = 3 feet
Volume of cube =
[tex]\text{Volume of cube} = l^3 = (3)^3 = 27\text{ cubic feet}[/tex]
Thus, the volume of sugar cube is 27 cubic feet.
The volume inside the giant sugar cube is 27 feet³.
A cube is a solid three-dimensional figure, which has 6 square faces or sides.
Cube has 6 square faces two bases and four side faces.
The surface area of the cube is the sum of the areas of the six faces,
The area of a square with a side length s square is s².
The surface area of the cube is 6 s².
The volume of the cube is s³.
A giant hollow sugar cube built out of wood.
It took 54 feet² of material to build the cube.
[tex]\rm The \ surface \ area \ of \ the \ cube = 6 s^2\\\\6 s^2= 54 \\\\ s^2=\dfrac{54}{6}\\\\s^2=9\\\\s^2=3^2\\\\\rm s=3[/tex]
The length of the side of the cube is 3 feet.
The volume of the cube = s³
The volume of the cube = 3³ = 27
Hence, the volume inside the giant sugar cube is 27 feet³.
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