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The sculpture consists of four identical prisms. Jane says the surface area of the sculpture is 4 times the surface area of one prism. Which statement about Jane's method is true?
A.) Jane should multiply volumes, not areas.
B.) Jane should also subtract the areas of six hidden surfaces.
C.) Jane should also add the areas of six hidden surfaces.
D.) Jane is correct.

2 Answers

2 votes

Answer:

Option B. is the correct answer.

Explanation:

The sculpture consists of 4 identical prisms. Jane says "the surface area of the sculpture is 4 times the surface area of one prism".

Jane's statement is incomplete because Jane should delete the area of six hidden surfaces of the prisms used.

By deleting these hidden surfaces Jane will get the actual surface area of the sculpture.

Option B) is the correct option.

User Sudarshan Bhat
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6 votes
The correct answer should be Choice B.

If there are 4 prisms together and touching, there are some hidden areas that don't make it out to the surface. Those areas should not be counted in the overall surface area. They should be subtracted.
User Jpsimons
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6.0k points