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OCR: Problem 3. Solar cells convert the energy of sunlight directly into electrical energy. For each square centimeter of solar cell in direct overhead sunlight, about 0.01 watt of electrical power is available. A solar cell in the shape of a regular hexagon is required to deliver 15 watts. Find the minimum length of a side. Solution: The total area required is 15 watts/0.01 watt per square centimeter, or 1500 square centimeters. The regular hexagon can be partitioned into six congruent equilateral triangles, each with an area of 1500/6 = 250 square centimeters ( Fig. 4.3). The area A of any equilateral triangle with side s may be expressed A = 1/2 (base)(altitude) = /4(250) cme = 578 cm2 = 24 cm. 2 8 .V33 _332 2 4 Solving for s, we have s =. 1.73 (See next card for Fig. 4.3.)