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Problem 36 Easy Difficulty
Find the volume of the described solid $S .$
A pyramid with height $h$ and base an cquilateral triangle
with side $a($ a tetrahedron $)$
Answer
$$
V=\frac{\sqrt{3}}{12} a^{2} h
$$
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Topics
Applications of Integration
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Top Calculus 2 / BC Educators
Anna Marie V.
Campbell University
Heather Z.
Oregon State University
Caleb E.
Baylor University
Samuel H.
University of Nottingham
Watch More Solved Questions in Chapter 7
Video Transcript
{'transcript': "the problem is finding the volume after this crap with solid facts. A pair meant was has h this on the clitoral triangle with side in. So for this problem, first, Okada's a graph here I need shall section It is you could literally triangle. So here denote area out cross section as B Why here? Why is the distance between this cross section on DH? It's a bass, please. The base is on equal little triangle ways. Side pain says area of the base is nicole two to three over for a square. Then why over it if green for a squire this is called too inch minus line over inch square So they want Let's see what you dream for They squared times each minus y over Finch Square. The volume Lee is put you into a girl from zero to age two, three four. It's going H minus line work pinch square. Why? So we can use new substitution at you? Is he caught you? It's minus y over. Then we have This is important image into girl found out why you square pants riddle for you Esquire. You so answer his coach. She took three square or all times h"}
Topics
Applications of Integration
Top Calculus 2 / BC Educators
Anna Marie V.
Campbell University
Heather Z.
Oregon State University
Caleb E.
Baylor University
Samuel H.
University of Nottingham
