The cross-sectional areas of a triangular prism and a right cylinder are congruent. The triangular prism has a height of 5 units, and the right cylinder has a height of 3 units. Which conclusion can be made from the given information?

The volume of the prism is half the volume of the cylinder.
The volume of the prism is twice the volume of the cylinder.
The volume of the prism is equal to the volume of the cylinder.
The volume of the prism is not equal to the volume of the cylinder.

Respuesta :

The volume of the prism is not equal to the volume of the cylinder.

Volume of triangular prism and right cylinder

The volume of a triangular prism and right cylinder is given by the following formula;

V = Ah

where;

  • A is the base area of the objects
  • h is the height of the objects

V(prism) = 5A

V(cylinder) = 3A

Thus, the correct conclusion is, the volume of the prism is not equal to the volume of the cylinder.

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Answer:

D. The volume of the prism is not equal to the volume of the cylinder.

Step-by-step explanation: