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

@cp9454

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

cp9454 · Answer

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

kirbykirby · Answer

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) = ?

cp9454 · Answer

let a cube of edge  a cm

cp9454 · Answer

then its surface area will be  $$6a^2$$

cp9454 · Answer

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