Question

volume of a cube of side 3√3a is.......

Answer 1

Concept we will be using:

$\text{i) Volume of a cube = side}^3$

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Solution:
The side of the cube = 3√3a

Plug in side = 3√3a in the formula:
Volume of the cube
[tex]=\text{side}^3\\ =(3 \sqrt{3}a) ^3\\ [/tex]
Applying $(ab)^m=a^m*b^m$ :
[tex]=(3 \sqrt{3})^3*a^3\\ = 3^3* (\sqrt{3} )^3*a^3 [/tex]
Applying 3³=3*3*3=27 and (√3)³=√3*√3*√3=3√3:
[tex]=27*3 \sqrt{3} *a^3\\ =81 \sqrt{3}a^3 [/tex]


Answer : Required volume is $81 \sqrt{3}a^3$ cubic units

Answer 2

Image is below.image shows the formula for volume of cube