Question

A medium-sized shipping box with side length s
units has volume of s^3 cubic units.
a. A large shipping box has side lengths that are 3
units longer than the medium box. Write a
binomial expression for the volume of the large box.
b. Expand the polynomial in part a to simplify the
volume of the large shipping box.
c. A small shipping box has side lengths that are 2
units shorter than the medium box. Write a
binomial expression for the volume of the small
shipping box.

Answer 1

Answer:

See below

Step-by-step explanation:

Medium- sized box:

• Side = s,
• Volume = s^3

a) Large -sided box

• Side = s + 3
• Volume = (s + 3)^3

b)

• (s + 3)^3 =
• s^3 + 9s^2 + 27s + 27

c) Small-sized box

• Side = s - 2
• Volume = (s - 2)^3 =
• s^3 - 6s^2 + 12s - 8