Question 1192108: Two similar rectangular prisms have an edge of the proportion of 3:5. If the smaller prism has a surface area of 69 m.squared, Find the surface area of the bigger prism. If the bigger prism has a volume of 500 cubic meters, find the volume of the smaller prism.
Found 2 solutions by ikleyn, Alan3354:
Answer by ikleyn(52781)   (Show Source):
You can put this solution on YOUR website! .
Two similar rectangular prisms have an edge of the proportion of 3:5.
If the smaller prism has a surface area of 69 m.squared, Find the surface area of the bigger prism.
If the bigger prism has a volume of 500 cubic meters, find the volume of the smaller prism.
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Regarding your first question, multiply the surface area of the smaller cylinder,
which is 69 m^2, by the square of the similarity coefficient,  .
multiply the surface area of the smaller cylinder,
which is 69 m^2, by the cube of the similarity coefficient,  .
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Be aware: calculations in the post by Alan are INCORRECT !
Answer by Alan3354(69443)  (Show Source):
You can put this solution on YOUR website! Two similar rectangular prisms have an edge of the proportion of 3:5. If the smaller prism has a surface area of 69 m.squared, Find the surface area of the bigger prism.
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Surface area is a function of the square of edge lengths ---> 9:25
69*(25/9) = 575/3 sq meters
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If the bigger prism has a volume of 500 cubic meters, find the volume of the smaller prism.
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Volume is a function of the cube of edge length ---> 27:125
500*(27/125) = 108 cubic meters
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Ikleyn confused the prism with a cylinder apparently.
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