Answer:
Volume A = Volume B ⇒ last answer
Step-by-step explanation:
* Lets explain how to solve the problem
- The volume of any prism = The area of the cross section × its length
- Prism A is a rectangular prism
∴ Its cross section is a rectangle with dimensions 6 units and 4 units
∵ The area of the rectangle = length × width
∴ The area of the cross section = 6 × 4 = 24 units²
∵ Its volume = The area of the cross section × its length
∵ Its length = 7.22 units
∴ Its volume = 24 × 7.22 = 173.28 units³
- Prism B is a triangular prism
∴ Its cross section is a right triangle with base 8 units and height
6 units
∵ The area of the triangle = 1/2 × base × height
∴ The area of the cross section = 1/2 × 8 × 6 = 24 units²
∵ The its volume = The area of the cross section × its length
∵ Its length = 7.22 units
∴ Its volume = 24 × 7.22 = 173.28 units³
- The volume of the rectangular prism equals the volume of the
triangular prism
∴ Volume A = Volume B
