Question

pls solve step by step and send plzz

Answer 1

Answer:

6cm is the answer for the given problem

Answer 2

Given:-

• Edge of cubes = xcm , 8cm ,9cm
• Single cube= 12cm

To find:-

• Value of x =.....?

Solution:-

As we know that,

$volume \: of \: cube = {side}^{3}$

$volume \: of \: first \: \: cube = {(x \: cm)}^{3} \\ volume \: of \: second \: cube = {(8cm)}^{3} = 512 {cm}^{3} \\ volume \: of \: third \: cube = {(10cm)}^{3} = 1000 {cm}^{3}$

$volume \: of \: single \: cube = {(12cm)}^{3} = 1728 {cm}^{3}$

Now ,

The sum of cube = sum of single cube

$= > {x}^{3} \: {cm}^{3} + 512 {cm}^{3} + 1000 {cm}^{3} = 1728 {cm}^{3} \\ = > {x}^{3} + 1512 {cm}^{3} = 1728 {cm}^{3} \\ = > {x}^{3} {cm}^{3} = 216 {cm}^{3} \\ = > x = \sqrt[3]{216 {cm}^{3} } = 6cm$