Question

Find the side of a cube of volume $1{m^3}$.
$
  (a){\text{ 1cm}} \\
  (b){\text{ 100cm}} \\
  (c){\text{ 10cm}} \\
  (d){\text{ None of the above}} \\
 $

Answer 1

Hint: In this question let the side of the cube be x meter, use the direct formula for the volume of the cube which is ${(side)^3}$, to get the value of this variable and thus the side.

Complete step-by-step answer:

As we know that the volume (V) of the cube is a side cube.
Let us suppose that the side of the cube is = x meter, as shown in above figure.
So the volume (V) of the cube is
$ \Rightarrow V = {\left( x \right)^3}{\text{ }}{{\text{m}}^3}$
Now it is given that the volume of the cube is 1 $m^3$.
$ \Rightarrow 1 = {x^3}$
$ \Rightarrow x = 1$ meter.
Now as we know that 1 m = 100 cm.
So the side of the cube is 100 cm.
So this is the required answer.
Hence option (B) is correct.

Note: Cube is a symmetrical three-dimensional shape, either solid or hollow, contained by six equal squares. In the cube each of the faces meets the other four faces and each of the vertices meets the three faces and three edges. It is advised to remember direct basic formulas like C.S.A, T.S.A, and volume for shapes like cube, cuboid, sphere etc., as it helps saving a lot of time while solving problems of these kinds.