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