Question

which statement is true about the volume of a prism and a pyramid?

a. the volume of the pyramid is 1/3 of the prism

b. the volume of the prism is 1/3 of the pyramid

c. the volume of the prism and pyramid are equal

d. the volume of the prism is twice the pyramid​

Answer 1

Answer:

The volume of pyramid is 2/3 of the volume of rectangular prism. The volume of pyramid is the same as the volume of rectangular prism.

Answer 2

Which statement is true about the volume of a prism and a pyramid?

• (a) is correct

The volume of a pyramid is 1/3 of that of a prism. If a prism and a pyramid have the same base and height, their volumes are in the ratio 1:3.

• A prism is a three-dimensional object with two polygon bases which should be the same shape and size, and rectangular faces.
• The volume of a prism is given by:

Volume = Area of base x height of prism

• A pyramid is a three-dimensional object a polygon base and with triangles as faces.
• The volume of a pyramid is given by:

Volume = 1/3 x Area of base x height of pyramid

• If we have a prism and a pyramid with the same bases and heights, we can fit actually the pyramid inside the prism, and then we can see that the pyramid takes up exactly 1/3 of the space in the prism.

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