If two pyramids have the same height, what must be true of the pyramids for them to also have the same volume?

the pyramids must have the same base shape.

the pyramids must have the same slant height.

the areas of the bases must be the same.

the pyramids must be identical in size and shape.

The answer is the option

The areas of the bases must be the same

Step-by-step explanation:

we know that

The volume of the pyramid is equal to

where

B is the area of the base of the pyramid

h is the height of the pyramid

In this problem we have

Pyramid N 1

Substitute

Pyramid N 2

Substitute

Remember that

the two pyramids have the same volume

so

therefore

The areas of the bases must be the same

42

step-by-step explanation:

step-by-step explanation: