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.

2.83 inches

Step-by-step explanation:

The formula for surface area of cube = 6s²

Where

s = side length of cube

S.A = 6s²

s² = S.A/6

s = √S.A /6

For cube a

Surface area = 1200 in²

Hence,

side length = √1200/6

Side length = √200

= 14.14 inches

For cube b

Surface area = 768 in²

Hence,

side length = √768/6

Side length = √128

= 11.13 inches

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?

Therefore,

14.14 inches - 11.13 inches

= 2.83 inches

thus, the first answer choice, y = sec x, is the correct one

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