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Question
Sophia has found a hatbox in her grandmother's attic. She decides to cover the inside and outside of the box, but not the lid, and use it to decorate her bedroom. What is the area of the surface Sophia needs to cover?

- The answer that I got was 4050.6 cm^2
 I originally got 2025.3, but I multiplied that by 2 because it said she wanted to decorate the "inside" and the "outside", but I'm not so sure.

Answer
You need to tell me the dimensions of the box. If I know the diameter and height, then

- the outside = circular part + bottom

circular part = (area of circle)・height of box = { pi・(diameter/2)^2 }・height

bottom = (area of circle) = { pi・(diameter/2)^2 }

- inside area = outside area

- total area = outside + inside = 2・outside  <- which you already figured

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randy patton

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college mathematics, applied math, advanced calculus, complex analysis, linear and abstract algebra, probability theory, signal processing, undergraduate physics, physical oceanography

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26 years as a professional scientist conducting academic quality research on mostly classified projects involving math/physics modeling and simulation, data analysis and signal processing, instrument development; often ocean related

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J. Physical Oceanography, 1984 "A Numerical Model for Low-Frequency Equatorial Dynamics", with M. Cane

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M.S. MIT Physical Oceanography, B.S. UC Berkeley Applied Math

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