SSC CHSL Model Paper 1

Question : 49 of 100

Marks: +1, -0

A solid metallic cube of edge 4 cm is melted and recast into solid cubes of edge 1 cm. If x is the surface area of the melted cube and y is the total surface area of all the cubes recast, then what is x : y?

2 : 1
1 : 2
1 : 4
4 : 1

Validate

Solution:

Volume of solid cube

= (4)^3 = 64 \cm^3

Volume of recast cube

= (1) ^3 = 1 \cm^3

∴ Total surface area of cube : Total surface area of recast cube = x : y
⇒

x :y = 6(4)^2:6(1)^2× 64

= 1:4

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