Question

The surface area of a cube is 100 square centimeters. Estimate to the nearest tenth of a centimeter the side length of the cube using the formula S = 6s2, where S represents surface area and s represents side length. Make sure to show all work and label your answer.

Answer 1

whats giving you difficulties?

Answer 2

all of it i dont understand algebra very much lol

Answer 3

start by filling in the formula, what do we get?

Answer 4

would we get 16 = 6 *16 ^2 im not sure if thats right or not

Answer 5

no

the formula is: S = 6s^2

they say S stands for Surface Area, and that Surface area is equal to 100

100 = 6s^2 is how we would start

to find "s" we need to start unwrapping it ....

Answer 6

would you agree that 6/6 = 1? and that multipling by 1 is redundant?

Answer 7

yes

Answer 8

since we want to keep things equal and balanced ... whatever we do to one side of the "+" we need to do to the other; so ... i would suggest we start by dividing each side by 6

100/6 = (6/6) s^2

100/6 = 1 * s^2

100/6 = s^2

Answer 9

now the question is, how do we undo that ^2?

Answer 10

ugh .... each side of the "="

Answer 11

lol. um would we break it down so its like this s*s?

Answer 12

thats is something we could do, but doesnt really lead us anywhere. the undoing of a square is a sqaure root

3^2 = 9
sqrt(9) = sqrt(3^2) = 3

in general:

sqrt(n^2) = n

Answer 13

100/6 = s^2 , lets sqrt each side

sqrt(100/6) = sqrt(s^2)

sqrt(100/6) = s