Problem 3 · 2013 Math Kangaroo
Easy
Geometry & Measurement
spatial-reasoning
The surface of a prism is made of 2013 faces. How many edges does the prism have?
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Answer: E — 6033
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Hint 1 of 2
A prism on an n-sided base has two end faces plus n side faces.
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Hint 2 of 2
Count faces in terms of n, solve for n, then count edges the same way.
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Approach: prism face/edge formula
- A prism with an n-gon base has n + 2 faces (n sides + 2 ends).
- n + 2 = 2013 gives n = 2011.
- Edges: n on top, n on bottom, n verticals = 3n = 3·2011 = 6033, so E.
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