calc help please

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can you guys help in this questing (question is in this link, )they force to pay for help.
http://www.chegg.com/homework-help/questions-and-answers/suppose-new-office-building-planned-architect-wants-design-building-thick-base-eventually--q1399042

Last edited: 26-Apr-12 02:21 PM

Last edited: 26-Apr-12 02:33 PM

Geshe

· Snapshot 63

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So it basically sum of volume of 10 trapezoid prism.
So,
area of a floor y = area of the ceiling of the floor x, where y=x+1

So, basically we can find the vloume of 10 different trapezoid prism and sum them up.

V= (1/2)*(Area of the floor + area of its celing) * (height of the room)
V=(15/2)*(Area of the floor+Area of the celing) [Notice that height of the room is the same for each floor=15 units)
Total Volume= sum of all Vs.
for instance,
V1= (25+23)* (15) cubic units
=360 unit^3.

So your total volume should be 2190 cubic units.

comingsoon

· Snapshot 101

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Thanks much, is there anyway we can solve this problem via intragal method?

Sparty

· Snapshot 103

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The volume of each floor is calculated as

Where l represents the lenght of the floor, w is for the width and h is the height.
You have the area of each floor, and also the height.

The area of the floor is caculated as

So if you use this equation in the first I gave to you, one can obtain this:

next step The volume for each floor is then calculated with the data you gave in the problem.

For example, for the first floor you have Area=25 ft. and Height=15 ft.

The volume of the first floor is then V=A*h=(25 ft.)*(15 ft.)=375 square feet

next step Calculating for the rest of the floors:

Floor number	Area (ft.)	Height (ft.)	Volume (sq ft.)
Ground	25	15	375
2	23	15	345
3	20	15	300
4	18	15	270
5	16	15	240
6	14	15	210
7	12	15	180
8	10	15	150
9	9	15	135
10	8	15	120
Roof	7	15	105

next step Then you calculate the total volume of the building, summing the volume column of the table.

The total volume of the building is 2430 square feet.

Geshe

· Snapshot 103

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This could be Reimann sum which is part of calculus 1. Are you taking Calc 3?

Geshe

· Snapshot 138

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this there is no function given nor we have any addition information igven, we need to do reimann sum.
I think taking volume of trapeziod prism will be better than taking cuboids.

comingsoon

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yas this is cal II problem?
that will be great if you show me process of Reimann sum.

Geshe

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hint;
here
delta x= delta height = 15/2
anf f(x) =(1/2) of ( bottom area+ top area)

Last edited: 26-Apr-12 05:09 PM

comingsoon

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