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The total surface area of a cube is 96cm2, find its volume.

Sagot :

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Answer:

[tex]\huge\boxed{V=64cm^3}[/tex]

Step-by-step explanation:

The formula of a surface area of a cube:

[tex]SA=6a^2[/tex]

The formula of a volume of a cube:

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

We have

[tex]SA=96cm^2[/tex]

Calculate the edge length (a).

[tex]6a^2=96[/tex]           divide both sides by 6

[tex]a^2=16\to a=\sqrt{16}\\\\a=4(cm)[/tex]

Calculate the volume of a cube:

[tex]V=4^3=64(cm^3)[/tex]

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