SOLUTION: The height of a rectangular box is 4 ft. The length is 1 ft longer than twice the width x. The volume is 312 ft cubed?

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Question 1146171: The height of a rectangular box is 4 ft. The length is 1 ft longer than twice the width x. The volume is 312 ft cubed?
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


V = lwh

h = 4
w = x
l = 2x+1

V = 312:
4%28x%29%282x%2B1%29+=+312
x%282x%2B1%29+=+78

That's a quadratic equation; solve it using your favorite method.

If an algebraic solution is not required, a little bit of mental arithmetic should allow you to find two numbers whose product is 78 that satisfy the condition that the larger is 1 more than twice the smaller.

78 and 1?
39 and 2?
26 and 3?
13 and 6?