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  • 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 .

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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Solution: Let x cm be the edge of the new cube . Then , 

               Volume of the new cube = sum of the volume of three cubes 

Rightarrow           x^3= 3^3+4^3+5^3=27+64+125=216

Rightarrow           x^3=216Rightarrow x^3=6^3Rightarrow x=6 cm 

herefore           Edge of the new cube is 6 cm long . 

            Surface area of the new cube =6x^2=6(6)^2=216 cm^2

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Deependra Verma

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