MATH SOLVE

3 months ago

Q:
# PLEASE HELP ME ASAP!!! The cross section of rectangular prism A measures 6 units by 4 units. The cross section of triangular prism B has a base that measures 8 units and a height of 6 units. If the length of each prism is 7.22 units, which statement is true?Answers in the picture

Accepted Solution

A:

Answer:Volume A = Volume B ⇒ last answerStep-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