Three metal cubes of sides 3 cm ,4cm and 5 cm are melted to form a larger cube . Find volume, total surface area and edge length of new cube formed .
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Step-by-step explanation:
Volume of resulting metal cube = Volume of metal cube 1+ Volume of metal cube 2+ Volume of metal cube 3
Volume of a cube =a
3
Let side of the resulting cube be A.
So, A
3
=3
3
+4
3
+5
3
=>A
3
=27+64+125
=>A
3
=216
=>A=6
Hence, length of side of the resulting metal cube is 6cm.
Total surface area of a cube =6a
2
=6×6
2
=216cm
2
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