Question

how will the surface area of a cube change if the length of each is doubled

Answer 1

surface area becomes 4 times if length is doubled.

let prove it...
let the length 2
so surface area = 6 × l^2
= 6 × 4(square of 2)
= 24

if the length is doubled it will become 4
surface area = 6 ×16(square of 4)
=96

24× 4 = 96
that means surface area becomes 4 times.


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