9. If a prism and pyramid have congruent bases and equal altitudes, then the volume of the pyramid is A. equal to the volume of

Question

4 years ago

9

9. If a prism and pyramid have congruent bases and equal altitudes, then the volume of the pyramid is A. equal to the volume of

the prism B. one-third of the volume of the prism C. one-half of the volume of the prism D. three times the volume of the prism

Mathematics

2 answers:

kherson [118] · Answer 1 · 2022-01-26T07:17:26+03:00

Answer:

B). one - third of the volume of the prism

Step-by-step explanation:

When a pyramid and a prism have congruent base and equal altitudes, the we know that the volume of the pyramid is one third of the volume of the prism.

The universal mathematical rule is

Volume of pyramid = volume of the prism / 3

Therefore, option B is the correct answer.

Akimi4 [234] · Answer 2 · 2022-01-26T06:06:20+03:00

The general rule is that

Volume of Pyramid = (1/3)*(Volume of Prism)
Or
Volume of Pyramid = (Volume of Prism)/3

Which is why the answer is choice B) one third of the volume of the prism

side note: we can multiply both sides by 3 to get
Volume of Prism = 3*(Volume of Pyramid)
The prism and pyramid must have the same base and altitude