101k views
5 votes
A square pyramid and a cube have the same bases and volumes. How are their heights related?

User Sapana
by
8.7k points

1 Answer

4 votes
Volume of square pyramid =a²*h/3, bases are the same so area of a base =a²
Volume of cube=a²*a, same base so area of a base of a cube =a²,
because all edges of a cube are equal, so height of a cube =a
Volume of the square pyramid=Volume the a cube
a²*h/3=a²*a
h/3=a
h=3a
the height of the pyramid is 3 times the height of the cube
User DoctorAV
by
8.4k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.