Final answer:
To convert the density from pounds per cubic inch to grams per milliliter, you multiply by 453.59237 (converting pounds to grams) and divide by 16.38706 (converting cubic inches to milliliters). The closest among the given options would be 5.93 g/mL, but it's important to use precise conversion factors for an exact answer.
Step-by-step explanation:
The density of an object given in pounds per cubic inch needs to be converted to grams per milliliter (g/mL) to determine which expression shows the approximate density of the object. To convert pounds to grams, we use the fact that 1 pound is approximately equal to 453.59237 grams. And since 1 cubic inch is equal to about 16.38706 milliliters (mL), we need to convert cubic inches to milliliters as well.
The density conversion from pounds per cubic inch to grams per milliliter can be calculated as follows:
3.61 × 10-4 lbs/in3 × (453.59237 g / 1 lb) × (1 in3 / 16.38706 mL) = 3.61 × 10-4 × 453.59237 / 16.38706 g/mL
Approximately, this gives us:
3.61 × 10-4 × 453.59237 / 16.38706 = 0.1 g/mL, which when rounded to the correct number of significant figures, would give a density of 0.001 g/mL.
However, according to our approximate calculations and options provided, the closest answer would be:
- A) 0.593 g/mL
- B) 5.93 g/mL
- C) 0.0361 g/mL
- D) 0.00361 g/mL
Note that the calculations presented here are based on rough approximations for illustrative purposes only. The actual math when carried out with exact conversion factors may yield a different answer.