Example 1.1 - Chapter 1 - Units and Measurement

Transcript

Example 1.1 Each side of a cube is measured to be 7.203 m. What are the total surface area and the volume of the cube to appropriate significant figures? Side of cube = a = 7.203 m Surface area of cube = 6a^(2) = 6 × (7.203)^(2) = 311.299… Here, we check 7.203 × 7.203 (since 6 is absolute value, it has infinite significant figures) Since both have 4 significant figures, final answer will have 4 significant digits Rounding off 311.299… to 311.3 = 311.3 m^(2) Volume of cube = a^(3) = (7.203)^(3) = 373.714… Here, we check 7.203 × 7.203 × 7.203 Since all three have 4 significant figures, final answer will have 4 significant digits Rounding off 373.714… to 373.7 = 373.7 m^(3)