The width of the rectangular box with volume of 150 cubic inches is: 5 inches.
What is the Volume of a Box?
Volume of a box = (length)(width)(height).
Given the following:
- Volume of the box = 150 in.³
- Height = 2 in.
- Width = w in.
- Length = w + 10 in.
150 = (w + 10)(w)(2)
2w² + 20w - 150 = 0
Factorize
(w - 5)(w + 15) = 0
w = 5, w = -15
The width cannot be negative, therefore, the width of the box is: 5 inches.
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