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18 Chapter 1 Matter, Measurement, and Problem Solving 1.145 This problem is similar to Problem 1.64 except that the dimension is changed to 7 cm on each edge. Given: 7 cm on each edge cube Find: cm³ Conceptual plan: Read the information carefully. The cube is 7 cm on each side. l,w,h V in a Solution: 7 cm X 7 cm X 7 cm = (7 cm)³ = 343 cm³, or 343 cubes 1.147 Remember that density = mass/volume. (a) The darker-colored box has a heavier mass but a smaller volume, so it is denser than the lighter-colored box. (b) The lighter-colored box is heavier than the darker-colored box, and both boxes have the same volume; the lighter-colored box is denser. (c) The larger box is the heavier box, so it cannot be determined with this information which box is denser. 1.149 Remember that an observation is the information collected when studying phenomena. A law is a concise statement that summarizes observed behaviors and observations and predicts future observations. A theory attempts to explain why the observed behavior is happening. (a) This statement is most like a law because it summarizes many observations and can explain future many places and many days. (b) This statement is a theory because it attempts to explain why (gravitational forces). (c) This statement is most like an observation because it is information collected to understand tidal behavior. (d) This statement is most like a law because it summarizes many observations and can explain future behavior- many places and many days and months. Questions for Group Work 1.151 (a) The average thickness of a human hair is about 100 microns (µm). Since 1 µm = 10⁻⁶ m, 100 µm X 1 µm = 1 X 10⁻⁴ m. (b) 1 X 10⁻⁴ (c) 0.0001 m (d) 100 microns or 100 µm (e) The distance between the Earth and the Sun is 149,600,000 km. Since 1 km = 10³ m, 149,600,000 km X = 149,600,000,000 m. 1 km (f) 1.496 X 10¹¹ m (g) 149,600,000,000 m (h) 149,600,000 km or 149.6 Mm 1.153 1" 1 cm 1 cm Since 1 in = 2.54 cm, there are 2.54 cm X 2.54 cm X 2.54 cm = 16.397064 1 in 1 in 1 in Copyright © 2017 Pearson Education, Inc.