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# Find the side of the cube of volume $1{{m}^{3}}$ ?

Last updated date: 13th Jun 2024
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Hint:

First we draw a diagram of a cube as drawn above now we know that the volume of the cube is given as $1{{m}^{3}}$ and the formula for the volume of the cube is:
Volume of the cube is $L\times B\times H$
We will take the dimension measurements as $x$ and its cube will be equal to $1{{m}^{3}}$.

Complete step by step solution:
Now as given in the question, the volume of the cube is given as $1{{m}^{3}}$, the volume of the cube has all its height, length, width of equal length as the cube is made up of 6 square pieces with each of them having the same dimensions.
Hence, the volume of the cube is given to us as $L\times B\times H$.
The dimension length of the length, width and height is taken as $x$.
Hence, using the volume of cube formula and equating it with the value of $x$, we get the value of $x$ as:
Volume of the cube is $L\times B\times H$ and placing the value of length, width and height is taken as $x$, we get the value of the $x$ as:
Volume of the cube is $x\times x\times x$
$\Rightarrow 1={{x}^{3}}$
$\Rightarrow x=1$m
Therefore, the value of the sides of the cube is given as $1$ m.

Note: The volume of the cube is $L\times B\times H$ as well as cuboid and the surface area of cube is $6{{L}^{2}}$ with $L=H=B$ whereas the surface area of cuboid is $2\left( LB+BH+HL \right)$.