Question

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

Answer 1

surface area of a cube = 6*L^2
where L is the length of one side of the cube



now work out the area if the length of a side is 3L

Answer 2

can you explain more because i dont understand

Answer 3

each side of a cube is a square so its area is its length squared = L^2

now there are 6 sides on a cube so total surface area = 6* L^2

Answer 4

OK that makes since

Answer 5

if length = 3L then total surface area =

6 * (3L)^2

= 6*9L^2

= 54L^2

Answer 6

so comparing the surface areas

54L^2 / 6 L^2 = 9

9 times bigger not tripled

Answer 7

oh OK that makes much more since thanks you were very helpful for explaining

Answer 8

yw

Answer 9

in fact as a general rule if you have two similar figures

then

ratio of their areas is L1 ^2 / L2 ^ 2 where L1 and L2 are corresponding lengths in the 2 figures

Answer 10

so in this case we can have length of 1 and 3
so ratio of ares is 1^2 : 3^2 = 1: 9

Answer 11

wow you must be very smart to figure it out i suck at geometry

Answer 12

lol ty