Question

three metal cubes with edges 6cm 8cm and 10cm respectively are melted together and form into single cube find the volume, surface area and the diagonal of the new cube​

Answer 1

Answer:

volume =1728 $cm^{3}$

(total)surface area=864$cm^{2}$

diagonal of cube=12$\sqrt{3}$cm

Step-by-step explanation:

volume of 1st cube=6*6*6=216$cm^{3}$

volume of2nd cube=8*8*8=512$cm^{3}$

volume of 3rd cube=10*10*10=1000$cm^{3}$

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as they are melted into together,

the volume of the new cube formed=216+512+1000=1728$cm^{3}$

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now ,side of the new cube=$\sqrt[3]{1728}$=12cm

surface area=6*$12^{2}$=864$cm^{2}$

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diagonal of cube =$\sqrt{3}$a=12$\sqrt{3}$cm