Question

If the bases and heights of a prism and a pyramid are the same and the volume of the prism is 27 cubit units, what is the volume of the pyramid? cubic units

Answer 1

Answer:

The volume of the pyramid is 9 cubic units.

Step-by-step explanation:

Given : If the bases and heights of a prism and a pyramid are the same and the volume of the prism is 27 cubit units.

To find : What is the volume of the pyramid?

Solution :

We know that,

If a pyramid and a prism have the same base and height then their volumes are always in the ratio of  1 : 3.

Which means the volume of pyramid is one-third of the volume of the prism.

i.e. $V_P=\frac{1}{3}\times V_p$

Volume of the prism $V_p=27 \text{ unit}^3$ (given)

The volume of pyramid is

$V_P=\frac{1}{3}\times 27$

$V_P=9\text{ unit}^3$

Therefore, The volume of the pyramid is 9 cubic units.

Answer 2

You divide 27 with 3 I think, because when you need to know the pyramid's volume you do:
base x height / 3
And when you want to know the prism's it's just the base x height.