Question

If the length of each side of a cube is doubled, is the surface area doubled? Use an example to support your answer.

@cp9454

Answer 1

no, new surface area becomes 4 times of the previous one.

Answer 2

An easy example: Take the side to be 1 cm. Then the surface area is 6*(1*1)=6

If you double the side, the side has length 2 cm. Then the surface area is 6*(2*2) = ?

Answer 3

let a cube of edge a cm

Answer 4

then its surface area will be \[6a^2\]

Answer 5

now the side is doubled i.e. 2a, so its surface area will be \[6(2a)^2 = 6*4a^2\]