Question

If the side of a cube is increased by 10%, then its volume is increased by:

Answer 1

please write formulae yourself.....

Answer 2

Step-by-step explanation:

Given:

side of a cube = a.

volume of cube =

${a}^{3}$

If the side of a cube is increased by 10%,

$\frac{10}{100} \times a$

$\frac{a}{10}$

then its volume :

${ \frac{a}{10} }^{3}$

$\frac{ {a}^{3} }{1000}$

then its volume is increased by:

${a}^{3} - \frac{ {a}^{3} }{1000}$

$1000a - \frac{a}{1000}$

$\frac{999a}{1000}$

therefore the increased volume is

$\frac{999a}{1000}$