A block of gold has length 5.62 cm, width 6.35 cm, and height 2.78 cm. a. Calculate the base area and round up the answer to the appropriate number of significant figures. b. Now multiply the rounded result of part (a) by the height and again round, obtaining the volume. Let this be ?1. c. Now obtain volume 2, ?2, by first finding the width times the height, rounding up to appropriate significant figures, and multiply by the length. d. Explain why the answers don’t agree with the third significant figure

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Chapter1: Introduction: The Nature Of Science And Physics
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Problem 18PE: (a) How many significant figures are in the numbers 99 and 100? (b) If the uncertainty in each...
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Problem 4: Significant Figures A block of gold has length 5.62 cm, width 6.35 cm, and height 2.78 cm. a. Calculate the base area and round up the answer to the appropriate number of significant figures. b. Now multiply the rounded result of part (a) by the height and again round, obtaining the volume. Let this be ?1. c. Now obtain volume 2, ?2, by first finding the width times the height, rounding up to appropriate significant figures, and multiply by the length. d. Explain why the answers don’t agree with the third significant figure.
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