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# Find the volume of the described solid $S .$A tetrahedron with three mutually perpendicular faces andthree mutually perpendicular cdges with lengths 3 $\mathrm{cm}$ ,$4 \mathrm{cm},$ and 5 $\mathrm{cm}$

## $$10 \mathrm{cm}^{3}$$

#### Topics

Applications of Integration

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##### Heather Z.

Oregon State University

##### Kristen K.

University of Michigan - Ann Arbor

##### Samuel H.

University of Nottingham

Lectures

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### Video Transcript

{'transcript': "The problem is find that the volume of the described the solid ass a tattered Hedren is very Marshall. Particular faces on the very marginally particular ad is with a laugh. Three centimeters, almost centimeters and a half centimeters. So first look at this graph here for any cross section. Yeah, I know it is. Area of the cross section is a why you know why is that this test between two cross section on its base. Go terrier Off the base is ico Chu four hams, three over to this is control six. Then we have Why over six this he caught you five minus y over Fun square. So a wine. This is a six arms well minus slide over five scored. There's a lot of a solid The is the CO two, integral from zero to five. The line Why this is culture Integral. Found zero six times about minus fly over scoring. Why? We can use U substitution that you obviously caught. You laugh once. Why over five then, do you? Yes. He called connective. One lifts. You are It's a half. This is integral to our. You want to zero six times. Use Claire hams Nick too, do you? The test is called two. Thirty times into Girl from zero to one. Your squire, You His answer is okay."}

WZ

#### Topics

Applications of Integration

##### Heather Z.

Oregon State University

##### Kristen K.

University of Michigan - Ann Arbor

##### Samuel H.

University of Nottingham

Lectures

Join Bootcamp