Answer: 5 milimeters.
Step-by-step explanation:
The formula for calculate the volume of a rectangular prism is:
[tex]V=lwh[/tex]
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:
[tex]V=750mm^3\\l=15mm\\w=10mm[/tex]
Substitutute these values into the formula and solve for the the height "h":
[tex]750mm^3=(15mm)(10mm)h\\\\h=\frac{750mm}{(15mm)(10mm)}\\\\h=5mm[/tex]
