Using your knowledge of metric units, English units, and the information on the back inside cover, write down the conversion factors needed to convert (a) in. to \(\mathrm{cm}(\mathbf{b}) \mathrm{lb}\) to \(\mathrm{g}\) (c) \(\mu g\) to \(g\) (d) \(\mathrm{ft}^{2}\) to \(\mathrm{cm}^{2}\).

Remember that 1 inch is equal to 2.54 centimeters. Therefore, the conversion factor for inches to centimeters is: \(1\ \mathrm{in} = 2.54\ \mathrm{cm}\)

Recall that 1 pound is equal to 453.592 grams. Therefore, the conversion factor for pounds to grams is: \(1\ \mathrm{lb} = 453.592\ \mathrm{g}\)

Remember that 1 gram is equal to 1,000,000 micrograms. Therefore, the conversion factor for micrograms to grams is: \(1\ \mathrm{g} = 1,000,000\ \mu\mathrm{g}\) To convert from micrograms to grams, we can find the reciprocal of this relationship: \(1\ \mu\mathrm{g} = 10^{-6}\ \mathrm{g}\)

First, let's convert square feet to square inches. We know that 1 foot is equal to 12 inches. Therefore, to find the conversion factor for square feet to square inches, we can square this relationship: \(1\ \mathrm{ft}^2 = (12\ \mathrm{in})^2 \) \(1\ \mathrm{ft}^2 = 144\ \mathrm{in}^2 \) Now, we've already found the conversion factor for inches to centimeters in step 1. To find the conversion factor for square inches to square centimeters, we can square the conversion factor from inches to centimeters: \(1\ \mathrm{in}^2 = (2.54\ \mathrm{cm})^2\) \(1\ \mathrm{in}^2 = 6.4516\ \mathrm{cm}^2\) Finally, we can combine both conversion factors from square feet to square inches and square inches to square centimeters. Multiply both conversion factors: \(1\ \mathrm{ft}^2 = 144\ \mathrm{in}^2 \times 6.4516\ \mathrm{cm}^2\) \(1\ \mathrm{ft}^2 = 929.0304\ \mathrm{cm}^2\)