Question

If each edge of a cube is doubled. How many times will its new surface area ?

Answer 1

Let the edge of the cube be ${}^{\prime }{x}^{\prime }$.
Then edge of the new cube formed $=2x$
Surface area of the original cube $=6x^2$
Surface area of the new cube when edge is doubled $=6(2x{)}^2=6(4x^2)=4(6x^2)$
Surface area of the new cube $=4\times$ Surface area of the original cube
Hence, the surface area of the new cube becomes $4$ times that of the original cube.