Question

three cubes of adjust xcm 4cm 5cm are melted in shaped into large cube so length 6cm then when the volume of x​

Answer 1

Answer:

x=3cm.

Step-by-step explanation:

three cubes = x cm,4cm&5cm.

large cube length = 6cm.

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

consider as condition,

${x}^{3} + {4}^{3} + 5 {}^{3 } = {6}^{3}$

${x}^{3} + 64 + 125 = 216$

${x}^{3} + 189 = 216$

${x}^{3} = 216 - 189$

${x}^{3} = 27$

$x = \sqrt[3]{27}$

$x = 3$