The sculpture consists of five identical prisms. JD says the surface area of the sculpture is 4 times the surface area of one pr
ism. Which statement about JD's method is true
JD should also subtract the areas of eight hidden surfaces.
JD should multiply volumes, not areas.
JD should also add the areas of eight hidden surfaces.
JD is correct.
JD should also subtract the areas of eight hidden surfaces.
JD should multiply volumes, not areas.
JD should also add the areas of eight hidden surfaces.
JD is correct.
2 answers:
Answer: The answer is (a) JD should also subtract the areas of eight hidden surfaces.
Step-by-step explanation: Given that the sculpture consists of five identical prisms and he says the surface area of the sculpture is 4 times the surface area of one prism. We are to choose which one of the given four options are correct.
Since JD is calculating the surface area of the sculpture, consisting of five prisms. So, there will be eight hidden surfaces of the five prisms which will not be in count. Hence, he must subtract the areas of those eight hidden surfaces.
Please see the attached figure for more understanding, where prism A has 1 hidden surface, B has 2 hidden surfaces, C has 2 hidden surfaces, D has 2 hidden surfaces and E has 1 hidden surface.
Thus, the correct option is (a).
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