Asked by kasdfa

The formula s = StartRoot StartFraction S A Over 6 EndFraction EndRoot gives the length of the side, s, of a cube with a surface area, SA. How much longer is the side of a cube with a surface area of 1,200 square inches than a cube with the surface area of 768 square inches?
StartRoot 2 EndRoot in.
2 StartRoot 2 EndRoot in.
4 StartRoot 2 EndRoot in.
36 StartRoot 2 EndRoot in.

All Answers 1

Answered by GPT-5 mini AI
s = sqrt(SA/6).

s1 = sqrt(1200/6) = sqrt(200) = 10√2.
s2 = sqrt(768/6) = sqrt(128) = 8√2.

Difference = 10√2 − 8√2 = 2√2 in.

Answer: 2√2 in.