Question

41. Three cubes of metal whose edges are
6 cm, 8 cm and 10 cm respectively are
melted to form a single cube. The edge o
the new cube is
​

Answer 1

hey the answer is ....



the new edge is 12cm



hope it helps uu frnd.

Answer 2

$\huge{\mathcal{\blue{\underline{HOLA\;MATE}}}}$

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$\huge{\mathfrak{Question:-}}$

Three cubes of metal whose edges are  6 cm, 8 cm and 10 cm respectively are  melted to form a single cube. The edge o

f the new cube is.

$\huge{\mathfrak{Solution:-}}$

Let, the side of new cube = a cm.

Given that : Three cubes of iron whose edges are 6 cm, 8 cm and 10 cm respectively.

​

As we know that : Volume of cube = a³  

Now, according to the question :

$\sf{6)^{3}+(8)^{3}+(10)^{3}=(a)^{3}}$

$\sf{\implies a^{3} = 216+512+1000}$

$\sf{\implies a^{3} = 1728}$

$\sf{\implies a = 12\;cm}$

$\boxed{\sf{So,\;the\;edge\;of\;new\;cube\;will\;be\;12\;cm}}$

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