Which is true about the volume or surface area of these prisms?
A.
The surface area of A is greater than the surface area of B.
B.
The volume of B is greater than the volume of A.
C.
The surface area of B is greater than the surface area of A.
D.
The volume of A is greater than the volume of B.
Last one seems tricky
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OpenStudy (gabbyalicorn):
OpenStudy (michele_laino):
the area of the first prism is:
A_1=2*(2*6+2*5+6*5)=...
OpenStudy (michele_laino):
namely prism A
OpenStudy (gabbyalicorn):
i got 760
OpenStudy (michele_laino):
are you sure?
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OpenStudy (gabbyalicorn):
yeppers
OpenStudy (gabbyalicorn):
ill double check
OpenStudy (michele_laino):
more steps:
A_1=2*(12+10+30)=...
OpenStudy (gabbyalicorn):
104
OpenStudy (michele_laino):
ok!
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OpenStudy (gabbyalicorn):
:D
OpenStudy (michele_laino):
whereas the area of prism B is:
A_2=2*(5*3+5*4+3*4)=...
OpenStudy (gabbyalicorn):
664
OpenStudy (michele_laino):
more steps:
A_2=2*(15+20+12)=...
OpenStudy (gabbyalicorn):
94
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OpenStudy (michele_laino):
correct!
OpenStudy (michele_laino):
now the volue of prism A is:
V_1=2*6*5=...
OpenStudy (gabbyalicorn):
60
OpenStudy (michele_laino):
ok!
OpenStudy (michele_laino):
finally the volume of the prism B is_
V_2= 5*3*4=...
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OpenStudy (gabbyalicorn):
60
OpenStudy (michele_laino):
ok! so both prisms have the same volume
OpenStudy (gabbyalicorn):
oh yeah, they do :3
OpenStudy (michele_laino):
so, what is the right option?
OpenStudy (gabbyalicorn):
so B?
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OpenStudy (gabbyalicorn):
no not b
OpenStudy (michele_laino):
no, since both prisms have the same volume
OpenStudy (gabbyalicorn):
it doesnt give me an option to say they r the same ;-;
OpenStudy (michele_laino):
Hint:
area of prism A is 104
whereas area of prism b is 94
OpenStudy (gabbyalicorn):
A
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OpenStudy (gabbyalicorn):
wait but i thought they were both 60?
OpenStudy (michele_laino):
and 104 is greater than 94
that's right!
OpenStudy (michele_laino):
each volume is 60
OpenStudy (gabbyalicorn):
:D yay!
OpenStudy (michele_laino):
:)
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