Answer:
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
