Question

This pyramid has the same base as the prism, and its height is three times the height of the prism. What is the ratio of the volume of the pyramid to
the volume of the prism?
OA. volume of pyramid
volume of prism
OB. volume of pyramid
volume of prism
volume of pyramid
volume of prism
OD. volume of pyramid
volume of prism3

Answer 1

Answer:

The ratio of the volume of the pyramid to  the volume of the prism = 1 : 1

Step-by-step explanation:

Points to remember

Volume of Prism =1/3( Base area * Height)

Volume of pyramid = Base area * Height

To find the ratio of volume of given prism and pyramid

It is given that the pyramid has the same base as the prism, and its height is three times the height of the prism.

Let 'a' be the base area

Volume of pyramid = Base area * Height

 = 1/3(a * 3h)

 = ah

Volume of prism =  Base area * Height

 = a * h = ah

volume of the pyramid/ volume of the prism = ah/ah = 1/1

Answer 2

Answer:

The volumes are equal.

Step-by-step explanation:

Volume of the prism = area of the base * height = hA

Volume of the pyramid = 1/3 * height  * base - 3 * 1/3 h A = hA.