Answer

Verified

408.9k+ 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

Mark and label the given geoinformation on the outline class 11 social science CBSE

When people say No pun intended what does that mea class 8 english CBSE

Name the states which share their boundary with Indias class 9 social science CBSE

Give an account of the Northern Plains of India class 9 social science CBSE

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

Trending doubts

Which are the Top 10 Largest Countries of the World?

In Indian rupees 1 trillion is equal to how many c class 8 maths CBSE

How do you graph the function fx 4x class 9 maths CBSE

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

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

What organs are located on the left side of your body class 11 biology CBSE

Give 10 examples for herbs , shrubs , climbers , creepers

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

Difference Between Plant Cell and Animal Cell