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?

rectangular prism A , with a cross-section that is parallel to its respective basetriangular prism B, with a cross-section that is parallel to its respective base

Volume A = one half(Volume B)
Volume A = 2(Volume B)
Volume A = one third(Volume B)
Volume A = Volume B

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Step-by-step explanation:

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

image for option 4

step-by-step explanation:

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