Determinate the volume a house ("simple" version)

[StonedMineral]

I have an exercice in Analysis II, the purpose of the exercice is to calculate the volume of a shed (see figure 1)
I've heard than I needed to cut the house in two see (figure 2)

And some kind of parametrization but I don't really understand this notion. I would like some help not the whole answer (obvisouly if you want I'll take it) but I would like some hints.
While waiting for some tips, I wish you all a good evening from Switzerland.

StonedMineral, 2nd year Chemistry student.

 

[Deleted member 4993]

I have an exercice in Analysis II, the purpose of the exercice is to calculate the volume of a shed (see figure 1)View attachment 18622
I've heard than I needed to cut the house in two see (figure 2)
View attachment 18625
And some kind of parametrization but I don't really understand this notion. I would like some help not the whole answer (obvisouly if you want I'll take it) but I would like some hints.
While waiting for some tips, I wish you all a good evening from Switzerland.

StonedMineral, 2nd year Chemistry student.

Have you calculated the volume of the shed - without using calculus?

Doing so will provide you with confirmation from the calculus answer.

Your second figure has some problems:



The z-axis should go through the center of the "horizontal" rectangles.

Please show us what you have tried and exactly where you are stuck.

Please follow the rules of posting in this forum, as enunciated at:

https://www.freemathhelp.com/forum/threads/read-before-posting.109846/#post-486520

Please share your work/thoughts about this assignment.

 

[StonedMineral]

Hey, sorry, my work on the assigment tend to 0, I've deducted the equation of the two plane of my roof and now I have to use double integral to calculate the volume of the house but I have troubles determinating the boundries of the integrals.

 

[Steven G]

Can you please define your variables?! What is A1 and A2??