9514 1404 393
Answer:
D. 2 m
Step-by-step explanation:
You know the integer factors of 10 are 1, 2, 5, so a width of 2 m will satisfy the requirements. For a width of 2 m, the length is 2+3 = 5 m, and the depth is 2-1 = 1 m. The volume is ...
V = LWH = 5×2×1 = 10 . . . . cubic meters, as required
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If you were to write an equation for this, it would be a cubic. Let x = width, then length is x+3 and depth is x-1. The volume is ...
V = (x+3)(x)(x-1)
we want that equal to 10.
In standard form, the equation becomes ...
x^3 +2x^2 -3x -10 = 0
According to the Rational Root Theorem, positive rational roots will be from the set {1, 2, 5, 10}, which are the integer divisors of 10.
You can try these values, or you can use a graphing calculator to find the solution. I find a graphing calculator to be quick and easy.
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The width of the storage compartment is 2 meters.
