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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Hi I hope this helps

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

answer

d. 10

explanation

the distance from point y to wx is the height of the triangle.

using pythagoras theorem,

group similar terms to get,

this implies that,

take positive square root of both sides to get,

this implies that,

where are the graphs?

step-by-step explanation: