Answer

Verified

384k+ views

**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 \[2\left( LB+BH+HL \right)\].

Recently Updated Pages

How many sigma and pi bonds are present in HCequiv class 11 chemistry CBSE

Why Are Noble Gases NonReactive class 11 chemistry CBSE

Let X and Y be the sets of all positive divisors of class 11 maths CBSE

Let x and y be 2 real numbers which satisfy the equations class 11 maths CBSE

Let x 4log 2sqrt 9k 1 + 7 and y dfrac132log 2sqrt5 class 11 maths CBSE

Let x22ax+b20 and x22bx+a20 be two equations Then the class 11 maths CBSE

Trending doubts

Guru Purnima speech in English in 100 words class 7 english CBSE

Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

Which are the Top 10 Largest Countries of the World?

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths

Difference Between Plant Cell and Animal Cell

Change the following sentences into negative and interrogative class 10 english CBSE

Select the word that is correctly spelled a Twelveth class 10 english CBSE

Give 10 examples for herbs , shrubs , climbers , creepers