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?
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
