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Mathematics 15 Online
OpenStudy (anonymous):

Please help I don't understand this at all..... on this would i do 82*pi/1:4, and 42*pi/1:8? The solid described is similar to a large solid with the given scale factor. Find the surface area and volume of a larger solid. A right prism with a surface area of 82 square feet and a volume of 42 cubic feet; scale factor 1:2: square

OpenStudy (dumbcow):

Yes you have the right idea. But you dont need to multiply by pi if the are and volume are already given

OpenStudy (anonymous):

so how would i do 1:4

OpenStudy (dumbcow):

if the smaller solid has area of 82 then multiply by 4, if 82 refers to the larger then divide by 4 to get the smaller solids area.

OpenStudy (dumbcow):

i am assuming the ratio is 1:2 for side length

OpenStudy (anonymous):

it just says the scale factor is 1:2

OpenStudy (dumbcow):

ok a prism with sides length twice as long will have 4X the area so we are ok

OpenStudy (anonymous):

ok.. so i do 82*4

OpenStudy (anonymous):

328, but i dont have to use pi?

OpenStudy (dumbcow):

no and for volume multiply by 8

OpenStudy (anonymous):

so 336

OpenStudy (dumbcow):

we only need to use pi when calculating area/perimeter/volume of a circle

OpenStudy (anonymous):

oh okay

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