Question

three cubes of metal with edges 3centimeter,4centimetere , 5 centimetere ,respectively are melted to form a single cube. find the lateral surface area of the new cube formed .
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Answer 1

Step-by-step explanation:

$volume \: of \: the \: new \: cube \: obtained = sum \: of \: volume \: of \: the \: three \: cubes \\ {side}^{3} = {3}^{3} + {4}^{3} + {5}^{3} \\ {side}^{3} = 27 + 64 + 125 \\ {side}^{3} = 216 \\ {side}^{3} = {6}^{3} \\ side = 6cm \\ lsa \: of \: new \: cube = 4 \times {side}^{2} \\ = 4 \times 6 \times 6 \\ 144 {cm}^{2}$

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