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The volume of cube is 729m3 . Length of its side in m.

Answer
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Hint:For this we first let the side of a cube be ‘x’ and then form an equation using the mensuration volume formula of the cube and solving it to find the value of ‘x’ or required side of a cube.
Volume of a cube = (side)3orsideofcube=Volumeofcube3

Complete step-by-step answer:
Let side of a cube = x m
Volume of given cube is = 729m3
But we know that the volume of a cube is given as (side)3 .
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Therefore from above we have
 Volumeofcube=(side)3
 side=Volumeofcube3
Substituting value of volume in above formula, we have,
To find the cube root of a number 729 we make its prime factors.
Prime factors of 729 are as follows:
 3729324338132739331
Using prime factors. We have
 Sideofcube=3×3×3×3×3×33Sideofcube=3×3Sideofcube=9
Hence, from above we see that side a cube having volume 729 is 9 .

Note: Side of cube can be fide from given volume in two different way in first way we write given volume in term of exponent as (9)3 and then equating it with (x)3 to get value of x. And in other ways we find the cube root of a given volume by a prime factorisation method to find the value of the side of the cube as explained above.