a rectangular prism has a volume of 810 cubic meters. it has a length of 10 meters and a width of 9 meters. What is the height of the prism

The height of the prism is 9 meters

Step-by-step explanation:

* Lets describe the rectangular prism

- The rectangular prism has six rectangular faces

- Two of them are bases and the other four are side faces

- The rectangular prism has three dimensions length, width, height

- The volume of any prism = Area of the base * its height

∵ The base of the rectangular prism is a rectangle

∵ Area any rectangle = length * width

∴ The volume of the rectangular prism V = length * width * height

* Lets solve the problem

∵ The volume of the prism is 810 meter³

∵ Its length is 10 meter

∵ Its width is 9 meters

∵ V = length * width * height

- Substitute the values of the volume, the length and the width in

the equation of V

∴ 810 = 10 * 9 * h

∴ 810 = 90 * h

- Divide both sides by 90

∴ 9 = h

∴ The height of the prism is 9 meters