Question

how many 3-cm cubes can be formed by melting a 15-cm cube of metal?​

Answer 1

$\sf {\orange {\underline {\red{\underline {♡Solution:-}}}}}$

Let the number of cube that can be formed by melting a 15 cm cube of metal be n

Now, let’s find the value of the cube of sides 3 cm first.

$Volume \: of \: 3 \: cm \: cube = ( {3cm)}^{3} \\ = 27cm³</p><p></p><p></p><p></p><p>[tex]volume \: of \: n \: number \: of \: 3cm \: cube</p><p> \\ \\ = n \times {27}^{3} - - - (1) \\ \\ now \: volume \: of \: cube \: of \: sides \: 15m$

$=( {15cm)}^{3} = {3375}^{3} - - - (2) \\ \\ now \: \\ equating \: equal(1) \: with \: eq(2) \: we \: get \:$

${3375}^{3} = n \times {27cm}^{2} \\ now \: divding \: 3375 \: by \: 27 \: we \: get \: \\ \\ = > n = \frac{ {3375cm}^{3}}{ {27cm}^{3}} \\ \\ = > n = 125$

So, the required number of 3 cm cubes that can be formed by melting a 15 cm cube of metal is 125.

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