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The density of a certain material is such that it weighs 9 pounds per cubic foot of volume. Express this density in grams per quart. Round your answer to the nearest whole number.

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Answer:

Explanation:

To express the density of the material in grams per quart, we need to convert the given units of pounds and cubic feet to grams and quarts, respectively.

First, let's convert the weight from pounds to grams. Since there are 454 grams in a pound, we can calculate the weight in grams by multiplying 9 pounds by 454:

9 pounds × 454 = 4086 grams

Next, let's convert the volume from cubic feet to quarts. Since there are 29.922 quarts in a cubic foot, we can calculate the volume in quarts by multiplying 1 cubic foot by 29.922:

1 cubic foot × 29.922 = 29.922 quarts

Finally, to find the density in grams per quart, we divide the weight in grams by the volume in quarts:

4086 grams ÷ 29.922 quarts = 136.5 grams per quart (rounded to the nearest whole number)

Therefore, the density of the material is approximately 137 grams per quart.

User Bert Deterd
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