SOLUTION: A frustum of a regular square pyramid is formed by passing a plane 2 in. from the vertex of a square pyramid of altitude 10 in. and base edge 4 in. What is the volume of the frustu
Algebra ->
Volume
-> SOLUTION: A frustum of a regular square pyramid is formed by passing a plane 2 in. from the vertex of a square pyramid of altitude 10 in. and base edge 4 in. What is the volume of the frustu
Log On
Question 1026518: A frustum of a regular square pyramid is formed by passing a plane 2 in. from the vertex of a square pyramid of altitude 10 in. and base edge 4 in. What is the volume of the frustum? Answer by ikleyn(52812) (Show Source):
You can put this solution on YOUR website! .
A frustum of a regular square pyramid is formed by passing a plane 2 in. from the vertex of a square pyramid of altitude 10 in. and base edge 4 in. What is the volume of the frustum?
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
The volume of the large pyramid is V = = {{in^3}}}.
The volume of the small pyramid is in times less than that,
because the similarity factor is 5. In other words, the volume of the small pyramid is v = {{in^3}}}.
Now the volume of the frustrum is the difference V - v.
You can calculate it yourself and represent it in any form you want/need.
