Question

If each side of cube is increased by 10 find volume

Answer 1

Answer:

$\large\bold\red{({a}^{3} + 30 {a}^{2} + 300a + 1000 )\: cb. \: units}$

Step-by-step explanation:

Let the side of the cube be 'a' Units

We know that,

• Volume of cube = ${side}^{3}$

Therefore,

We get,

• $V = {a}^{3}\;cb.\:units$

Now,

It's given that,

Each side is increased by 10 units

Therefore,

• New side length = (a +10) units

Therefore,

We get,

• $V' ={(a+10)}^{3}$

$= > V' = {a}^{3} + {10}^{3} + 3 0{a}^{2} + 300a \\ \\ = > V' = {a}^{3} + 30 {a}^{2} + 300a + 1000 \: cb. \: units$

Hence,

The new Volume is,

• $\bold{({a}^{3} + 30 {a}^{2} + 300a + 1000 )\: cb. \: units}$