Solve the problem.A box has a volume of 30 cubic feet. The height of a box is 1 foot more than its length, and its length is 4 feet more than its width. Let x be the height. (i) Write a polynomial that gives the volume of the box in terms of x.(ii) Write an equation whose solution gives the height of the box.(iii) Solve the equation by using factoring.
A. (i) x3 - 6x2 + 6x; (ii) x3 - 6x2 + 6x = 30 (iii) 7 ft
B. (i) x3 - 6x2 + 5x; (ii) x3 - 6x2 + 5x = 30 (iii) 6 ft
C. (i) x3 - 7x2 + 5x; (ii) x3 - 7x2 + 5x = 30 (iii) 7 ft
D. (i) x3 - 5x2 + 5x; (ii) x3 - 5x2 + 5x = 30 (iii) 5 ft
Answer: B
Mathematics
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