Question

Three metal cubes with edges 15 cm ., 12 cm. and 9cm. respectively are melted together and formed into a single cube.Find the diagonal of this cube. ​

Answer 1

Answer:

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Answer 2

Step-by-step explanation:

volume of cube _ side^3

therefore the the volumes of three cubes are

3375cucm,1728 cucm, 729 cucm .

volume of three cube= volume of simple cube

\begin{lgathered}3375 + 1728 + 729 = x {}^{3} \\ 5832 = {x}^{3} \\ x = 18\end{lgathered}

3375+1728+729=x

3

5832=x

3

x=18

the edge of new cube is 18cm.

a face of cube is square.

diagonal of square = side× √2

18√2

therefore diagonal of the new cube is 18√2

hope this helps you.

don't forget to do it brainleist.