The volume of a suitcase is 4331.25 in.³. The length of the suitcase is 22.5 inches and the width is 19.25 inches. What is the height? Show work

The shape of suitcase is cubical and volume of cube is the product of its length, width and height.

So,

Volume of suitcase = Length x Width x Height

We know the volume, length and width. Using the above equation we can find the height of the suitcase. Using the values in above equation, we get:

4331.25 = 22.5 x 19.25 x Height

4331.25 = 433.125 x Height

⇒

Height = 10 inches

Thus, the height of suitcase is 10 inches.