Our Discord hit 10K members! 🎉 Meet students and ask top educators your questions.Join Here!



Numerade Educator



Problem 34 Easy Difficulty

Find the volume of the described solid $S .$
A frustum of a pyramid with square base of side $b,$ square
top of side $a,$ and height $h$
What happens if $a=b ?$ What happens if $a=0 ?$


$V=\frac{1}{3} h\left(a^{2}+a b+b^{2}\right)$
If $a=b$ then it is a rectangular box
If $a=0$ then it is a pyramid


You must be signed in to discuss.

Video Transcript

{'transcript': "travel on these, finding the volume of the described solid as a frustrating um of a power made of Esquire base of side being squared. Hubble's on a hot H. What happens if is because to be what happens if a is equal to zero. Look at this graph here. So for any cross section, it is a squire. So I assume the distance between the cross section Andi it's a bass is why then, yeah, I write it. That area after cross section is a why the first of a compute area of people. That's a cross section. Why that look and so graph here, the side truss section is this line over half this part of it could rain is this part? If I write it, this party is equal to X then this part is you could tow X. This part is going to be mind staying over too. Toby Half axel over two like silver B minus a over, too. It's the country one wine over, bitch So lax. It's because of you which months Why over age one client invited over to to the side of the cross section is equal to to explain. So This is called minus my stay over Finch Time slide So a wine is true A minus my spade over age Why square then? The volume of the solider ass is culture into girl from zero to H. You know why What? This is echo two into girl from zero to age in my mind My screen over bitch Why squire you want? Yeah, We can use you substitution that you speak or two minus one feel privileged housewife. So we'LL have This is Nico into into girl? Yeah. Hey, Negative! It's over. You scored. So here Curtis rises up under its own thirties Bitch three ham's square ass US score. This's the longer we're out too solid."}

Top Calculus 2 / BC Educators
Grace H.

Numerade Educator

Anna Marie V.

Campbell University

Kristen K.

University of Michigan - Ann Arbor

Joseph L.

Boston College