Answer:
The volume of the prism is not equal to the volume of the cylinder.
Step-by-step explanation:
I took the test and it was right
If the base area of a triangular prism and a right cylinder are congruent then the volume of both can not be the same.
It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
The cross-sectional areas of a triangular prism and a right cylinder are congruent.
The triangular prism has a height of 10 units, and the right cylinder has a height of 7 units.
The volume of the triangular prism will be
[tex]\rm Triangular \ prism \ volume = \dfrac{1}{2} \times a \times b \times 10\\\\\rm Triangular \ prism \ volume = 5ab[/tex]
Where a is the height of the triangle and b is the base of the triangle.
The volume of the right cylinder will be
[tex]\rm Right \ cylinder \ volume = \pi \times r^2 \times 7\\\\\rm Right \ cylinder \ volume = 22\ r^2[/tex]
Where r is the radius of the base circle.
If the base area of a triangular prism and a right cylinder are congruent then the volume of both can not be the same.
More about the geometry link is given below.
https://brainly.com/question/7558603
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