Respuesta :
The conclusion can be made from the given information
The volume of the triangular prism is equal to the volume of the cylinder
Given that there are two figures
1. A right triangular prism
2. Right cylinder
The area of the cross-section of the prism is equal to the Area of a cross-section of the cylinder.
Let this value be A.
Also given that the Height of prism = Height of cylinder = 6
The volume of a prism is will be :
[tex]V _{prism} = cross section area \times height[/tex]
[tex]V _{prism} = A \times 6 = 6A[/tex] (1)
The Cross section of the cylinder is a circle.
hence the Area of the circle will be:
Area of cross-section, A = [tex]\pi \times r^2[/tex]
so, the Volume of the cylinder will be :
[tex]V _{cylinder} = \pi \times r^2 \times h[/tex]
[tex]V _{cylinder} = A \times h = A \times 6 = 6A[/tex] (2)
From equations (1) and (2) we can say that
The volume of the triangular prism is equal to the volume of the cylinder.
What is a triangular prism?
- A three-sided polyhedron consisting of a triangle base, a translated copy, and three faces connecting equivalent sides is known as a triangular prism in geometry.
- If the sides of a right triangular prism are not rectangular, the prism is oblique. Right triangle prisms with square sides and equilateral bases are known as uniform triangle prisms.
- It is, in essence, a polyhedron with two parallel sides and three surface normals that are all in the same plane (which is not necessarily parallel to the base planes).
- There are parallelograms in these three faces. The identical triangle appears in every cross-section running parallel to the base faces.
To learn more about triangular prism with the given link
https://brainly.com/question/24046619
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