Question

A rectangular prism has a volume of 750 cubic millimeters. Its length is 15
millimeters, and its width is 10 millimeters. What is its height? You must show your
work to earn full credit.

Answer 1

Answer: 5 milimeters.

Step-by-step explanation:

The formula for calculate the volume of a rectangular prism is:

$V=lwh$

Where "V"  is the volume, "l" is the lenght, "w" is the width and "h" is the height.

You know that the volume, the lenght, and the width of this rectangular prism are:

$V=750mm^3\\l=15mm\\w=10mm$

Substitutute these values into the formula and solve for the the height "h":

$750mm^3=(15mm)(10mm)h\\\\h=\frac{750mm}{(15mm)(10mm)}\\\\h=5mm$