Q. 23.8( 5 Votes )

Two square pyramids have the same volume. The base edge of one is half that of the other. How many times the height of the second pyramid is the height of the first?

Answer :

Let the volume of first pyramid be V1

Let the base edge of first pyramid be a1

Let the height of first pyramid be h1

Let the volume of second pyramid be V2

Let the area of first pyramid be a2

Let the height of first pyramid be h2

We know that,

Volume of a pyramid

Volume of a first pyramid

Volume of a second pyramid

Given: V1 = V2



Substitute in (1)

h2 = 4h1

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses