Question

Given the density of water is 62.4 lbs over ft^3, what is the density in oz over in^3? Recall that 1 lb = 16 oz and 1 ft = 12 in.

a) 0.036 oz/in^3
b) 0.048 oz/in^3
c) 0.06 oz/in^3
d) 0.072 oz/in^3

Answer 1

The correct density conversion from 62.4 lbs/ft³ to oz/in³ requires multiplying by 16 oz/lb and dividing by 1728 in³/ft³, but the resulting 0.576 oz/in³ does not match any of the provided answer choices.

Step-by-step explanation:

The student is asking to convert the density of water from lbs/ft³ to oz/in³. You start by using the given 62.4 lbs/ft³ and multiplying it by the conversion factor of 16 oz/lb, because there are 16 ounces in one pound. You then divide this product by the conversion factor of 1728 in³/ft³, because there are 12³ or 1728 cubic inches in one cubic foot. The calculation is as follows:

62.4 lbs/ft³ * (16 oz/lb) / (1728 in³/ft³) = 0.576 oz/in³

By checking the provided answer options, we see that none of them match 0.576 oz/in³, which suggests there might have been a mistake in the original calculation or the provided possible answers. The closest provided answer by magnitude is (d) 0.072 oz/in³, but this is still not the correct answer based on the calculation performed.