Math Problem Statement
Solar (photovoltaic) cells convert sunlight directly into electricity. If solar cells were 100% efficient, they would generate about 1000 watts of power per square meter of surface area when exposed to direct sunlight. With lower efficiency, they generate proportionally less power. For example, 10% efficient cells generate 100 watts of power in direct sunlight. Suppose you want to supply 1 kilowattnothing of power to a house by putting solar panels on its roof. For solar cells with the average power of 46 watts per square meter of solar panels, how many square meters of solar panels would you need? Assume you can make use of the average power from the solar cells (by, for example, storing energy in batteries until it is needed). How many square meters of solar pannels would you need?
Solution
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Math Problem Analysis
Mathematical Concepts
Ratio and Proportion
Unit Conversion
Formulas
Area (A) = Total Power Needed / Power per Square Meter
A = 1000 watts / 46 watts per square meter
Theorems
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Suitable Grade Level
Grades 9-11
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