Volume of a Box A rectangular box with a volume of2 !2 ft3 has a square base as shown

Chapter 3, Problem 104

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Volume of a Box A rectangular box with a volume of2 !2 ft3 has a square base as shown below. The diagonal ofthe box (between a pair of opposite corners) is 1 ft longerthan each side of the base.(a) If the base has sides of length x feet, show thatx6 2x5 x4 8 0(b) Show that two different boxes satisfy the given conditions.Find the dimensions in each case, rounded to thenearest hundredth of a foot.

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