Question

plz answer this question guys..plz sweethearts♥♥​

Answer 1

$\displaystyle\huge\red{\underline{\underline{Solution}}}$

DESCRIPTION

A cube is a Geometrical figure in three dimensions.

It has six sides, eight vertices and 12 edges

FORMULA TO BE IMPLEMENTED

1.

If the side of a cube is x unit

Then volume of the cube

$= {x}^{3} \: \: \: cubic \: \: unit$

2.

${(x + y)}^{3} = {x}^{3} + {y}^{3} + 3 {x}^{2} y + 3x {y}^{2}$

EVALUATION

Let a be the side length of the cube

Then

${a}^{3} = 27 {x}^{3} + 8 {y}^{3} + 54 {x}^{2} y + 36x {y}^{2}$

$\implies \: {a}^{3} = (3 {x})^{3} +( 2 {y})^{3} + 3 \times (3 {x}^{2} )\times 2 y + 3 \times 3x \times {(2y)}^{2}$

$\implies \: {a}^{3} = {(3x + 2y)}^{3}$

$\therefore \: a \: = 3x + 2y$

$\red{\fbox {Hence the side length of the cube = 3x+ 2y }}$