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  • 20-11-2019
  • Mathematics
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The volume of a cube is 125 cubic inches find the surface area of the cube show all your work

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Аноним Аноним
  • 20-11-2019

Since the volume is the cube of the side:

[tex]V=s^3[/tex]

the inverse formula is

[tex]s=\sqrt[3]{V}=\sqrt[3]{125}=5[/tex]

So, our cube has side length 5. Since a cube is composed of 6 squares, the surface area is 6 times the area of a square of side 5, i.e.

[tex]6s^2=6\cdot 5^2 = 6\cdot 25=150[/tex]

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