If 3cube of material whose edges 30cm, 40cm and 50cm respectively are melted and formed into single cube find the total surface of area of a new cube
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Step-by-step explanation:
Let's name all the cubes as cube1 , cube2 ,cube3
Dimensions of smaller cubes
side of cube1 = 30cm
side of cube2 = 40cm
side of cube3 = 50cm
Volume of cube1+cube2+cube3 = (30)^3+(40)^3+(50)^3
= 27000+64000+125000
= 216000cm^3
Volume of new cube formed =216000m^3
(side)^3 = 216000
side = 3^√216000
side = 60cm
Total surface area of new cube = 6×side^2
= 6×60×60
= 21600 cm^2
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