Question

Find the volume of a cube, one face of which has an area of 81
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Answer 1

Step-by-step explanation:

Hey there!

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

Answer 2

Answer:

Given

Area of one face of cube = 81

Let edge of cube be a

Therefore, area of square= 81 { all faces of a cube is a square.}

${a}^{2} = 81$

a=9

Now volume of cube

${a}^{3} = {9}^{3} = 729$