Question

Anyone can help me to solve this?​

Answer 1

Answer:

$volume = x^3+3x^2+3x+1$

Volume of a cube is given by a³ where a denotes side of a cube.

Here given side:

• x + 1

So, the volume:

• (x + 1)³

• (x + 1)(x + 1)(x + 1)

• (x² + x + x + 1)(x + 1)

• (x² + 2x + 1)(x + 1)

• x³ + x²  + 2x² + 2x + x + 1

• x³ + 3x² + 3x + 1

Answer 2

Here, We are given a side of a cube.. Since, it is a cube alk the sides are equal amd the formula for volume of cube is:

$\boxed{ \tt \: {side}^{3} }$

• Side = x+1

Volume of cube;

$\sf \longmapsto \: (x + 1)^{3}$

• Expand using the identity
• $\boxed{ \tt {(a + b)}^{3} = {a}^{3} + {3a}^{2}b + {3ab}^{2} + {b}^{3} }$

$\sf \longmapsto \: {x}^{3} + {3x}^{2} \times 1 + 3x \times {1}^{2} + {1}^{3}$

• Calculate the product and evaluate all the powers

$\therefore \rm \: Area = {x}^{3} + {3x}^{2} + 3x + 1$