Mathematics
5 Online
OpenStudy (gabbyalicorn):
What is the value of the ratio of the surface area to the volume of the right prism?
A.
1.9
B.
1.05
C.
0.9
D.
0.53
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OpenStudy (gabbyalicorn):
|dw:1433371387642:dw| @gaos
OpenStudy (anonymous):
Look at the figure
How many rectangle with 5 in and 4 in does it have?
OpenStudy (gabbyalicorn):
um 2?
OpenStudy (anonymous):
Yes, what's the surface area of each of them?
OpenStudy (gabbyalicorn):
4 x 2 base x hieght
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OpenStudy (anonymous):
Base x height
OpenStudy (gabbyalicorn):
8
OpenStudy (anonymous):
Base=4
Height =5
What's the area?
OpenStudy (gabbyalicorn):
20
OpenStudy (anonymous):
Yes, each. But we have two rectangle, so the sum of the areas must be....
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OpenStudy (gabbyalicorn):
4 and 5
OpenStudy (anonymous):
Two rectangle with an area of 20 each,
20+20=???
OpenStudy (gabbyalicorn):
40
OpenStudy (anonymous):
Yes, keep this number and let's calculate the second part
OpenStudy (gabbyalicorn):
k
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OpenStudy (anonymous):
How many rectangle with 5x2 sides are there?
OpenStudy (gabbyalicorn):
10
OpenStudy (anonymous):
Yes and there are two of this .
So 10+10=???
OpenStudy (gabbyalicorn):
20
OpenStudy (anonymous):
And the final part
Two rectangle with 4x2 side
What's the total area?
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OpenStudy (gabbyalicorn):
8
OpenStudy (anonymous):
And there are two of these...
So 8+8=???
OpenStudy (gabbyalicorn):
16
OpenStudy (anonymous):
Now, the final answer...
The area of the prism is
16+40+20
OpenStudy (gabbyalicorn):
76
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OpenStudy (anonymous):
Right, now let's calculate the volume
Volume = width x height x base
OpenStudy (gabbyalicorn):
12,800
OpenStudy (anonymous):
No,
V=5x4x2
V=???
OpenStudy (gabbyalicorn):
40
OpenStudy (anonymous):
Right, now let's calculate the percentage
How much is
40/76=???
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OpenStudy (gabbyalicorn):
0.526315
OpenStudy (gabbyalicorn):
D
OpenStudy (anonymous):
So the answer is letter....
OpenStudy (anonymous):
Perfect
OpenStudy (gabbyalicorn):
^^
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OpenStudy (gabbyalicorn):
D
OpenStudy (gabbyalicorn):
Thank you!!!!!!!!!!!
OpenStudy (gabbyalicorn):
wait no it 1.9 ;-;