Three metal cubes whose edges measure 3 cm,4 cm and 5 cm respectively are melted to form a single cube. find its edge. also find the surface area of the new cube
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let the side of the new cube be x
volume of new cube = sum of volume of three cubes
we know that volume of cube= side³
volume of new cube= 3³+4³+5³
= 27+64+125
=216
volume of new cube =216cm³
x³=216
x=∛216
x=6cm
∴ edge of cube is 6 cm
surface area of cube = 6a²
= 6(6)²
= 216 cm²
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