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 p
Question
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.
2 Answer

1. User Answers calculista
Answer:
The answer is the option
The areas of the bases must be the same
Stepbystep explanation:
we know that
The volume of the pyramid is equal to
[tex]V=\frac{1}{3}Bh[/tex]
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
[tex]h1=h\ units[/tex]
[tex]B=B1\ units^{2}[/tex]
Substitute
[tex]V1=\frac{1}{3}B1h[/tex]
Pyramid N 2
[tex]h2=h\ units[/tex]
[tex]B=B2\ units^{2}[/tex]
Substitute
[tex]V2=\frac{1}{3}B2h[/tex]
Remember that
the two pyramids have the same volume
so
[tex]V1=V2[/tex]
[tex]\frac{1}{3}B1h=\frac{1}{3}B2h[/tex]
[tex]B1=B2[/tex]
therefore
The areas of the bases must be the same

2. User Answers MrRoyal
The true statement is (c) The areas of the bases must be the same.
The volume of a pyramid is calculated as:
[tex]V = Bh[/tex]
Where:
B represents the base area
h represents the height
V represents the volume
When the volume and the height of both pyramids are equal, then the base area must be the same
Hence, the true statement is (c) The areas of the bases must be the same.
Read more about volumes at:
https://brainly.com/question/1972490