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Mathematics 8 Online
OpenStudy (gabbyalicorn):

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

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?

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!

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

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=...

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?

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

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):

:)

OpenStudy (gabbyalicorn):

Thank you!

OpenStudy (michele_laino):

thanks!! :)

OpenStudy (gabbyalicorn):

np :D Thank you for helping me!

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