the volume of olivia’s rectangular lunchbox is 240 cubic inches. the lunchbox is 3 inches deep, and its length is 2 inches more than its width. what is the width of olivia’s lunchbox?
Question
Answer:
The volume of the rectangular prism is:v = (w) * (l) * (h)
Where,
w: width
l: length
h: height
Substituting values we have:
240 = (w) * (w + 2) * (3)
Rewriting we have:
80 = (w) * (w + 2)
80 = w ^ 2 + 2w
w ^ 2 + 2w - 80 = 0
The roots of the polynomial are:
w1 = -10
w2 = 8
We use the positive root because we are talking about dimensions.
w = 8 inches
Answer:
The width of olivia's lunchbox is:
w = 8 inches
solved
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