the volume of a cube ,one face of which has an area of 81msquare is
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the volume of a cube ,one face of which has an area of 81msquare is
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Given, Area of one face of a cube is 81m²
Faces of a cube are in the shape of square.
We know that,
Area of square = ( side)²
Now, Given Area = 81m²
Side = √Area
= √81
= 9m .
Now,
We know that, Volume of cube = ( side)³
Volume
= ( Side) ³
=9³
=729m³
Therefore, Volume of cube whose one face area equals 81m² is 729m³
[tex]a^{2}=81\\a=\sqrt{81} \\a=9\\ volume=9*9*9=729cubic.cm