Question

The volume of a suitcase is 1,083 cubic inches. It's length is 19 inches, and it's height is 9.5 inches. What is the width? Write an equation to represent the width. Then find the width of the suitcase.

Answer 1

We can model the suitcase as a rectangular prism.
 The volume of the prism is:
 V = (l) * (h) * (w)
 Where,
 l: length
 h: height
 w: width
 Clearing the width we have:
 w = (V) / ((l) * (h))
 Substituting values we have:
 w = (1083) / ((19) * (9.5))
 w = 6 inches
 Answer:
 an equation to represent the width is:
 w = (V) / ((l) * (h))
 the width of the suitcase is:
 w = 6 inches