Ask Question
12 September, 14:33

A box has a width 9 inches less than its height and a length 7 inches more than its height.

a. If h is the height of the box, write a polynomial that represents the volume of the box.

b. Use this polynomial to calculate the volume for h = 17 inches.

+5
Answers (1)
  1. 12 September, 15:30
    0
    So everything in this problem is in terms of height (h). We'll abbreviate width to w and length to l and volume to v

    l=h+7

    w=h-9

    a.

    volume is height x width x length

    v=h * (h+7) * (h-9)

    now we have to multiply these values

    h * (h+7) = h^2+7h

    (h^2+7h) * (h-9) = h^3-9h^2+7h^2-63h=h^3-2h^2-63h

    b.

    now we plug in h=17

    v=17^3 - 2 (17) ^2 - 63 (17) = which comes out to 2686

    note: * * i suggest going through these steps on your own mostly because it's late and i'm tired and that seems like an awfully large number so you may want to check it
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “A box has a width 9 inches less than its height and a length 7 inches more than its height. a. If h is the height of the box, write a ...” in 📘 Mathematics if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions.
Search for Other Answers