Question

What is the volume of a cube of side 3x unit?

Answer 1

The volume of a cube of side 3x unit is 27x³ unit³

Given :

The side of a cube is 3x unit

To find :

The volume of the cube

Formula :

Volume of cube = (side)³

Solution :

Step 1 of 2 :

Write down the side of the cube

Here it is given that the side of the cube is 3x unit

Step 2 of 2 :

Find the volume of the cube

The volume of the cube

= (side)³

$\sf = {(3x)}^{3} \: \: {unit}^{3}$

$\sf = 27{x}^{3} \: \: {unit}^{3}$

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Answer 2

Given,

The side of a cube = 3x units

To find,

The volume of the cube.

Solution,

The volume of a cube of side 3x units will be 27x³ units³.

We can easily solve this problem by following the given steps.

We know that in a cube all the sides are equal whereas in a cuboid there are three sides given as length, breadth and height.

We know that the volume of a cube is (side)³ and the volume of a cuboid is length × breadth × height.

So,

The volume of the cube(V) = (side)³

V = (3x units)³

V = 3x × 3x × 3x units³

V = 9x² × 3x units³

V = 27x³ units³

(The units of the side are multiplied three times like the measurement of the side. For example, if the unit is given as a meter. Then, the units of volume will be m³. So, there is a cube on the 'units'.)

Hence, the volume of the cube is (27x³) unit³.