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Volume of a Box A rectangular box with a volume of 2 √(2) ft^3 has a square base as shown below. The diagonal of the box (between a pair of opposite corners) is 1 ft longer than each side of the base. (a) If the base has sides of length x feet, show that x^6-2 x^5-x^4 8=0 (b) Show that two different boxes satisfy the given conditions. Find the dimensions in each case, rounded to the nearest hundredth of a foot. | Numerade
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