Perform the following conversions. Please circle your answer. You must show your work and report your answer with the correct number of significant figures to receive full credit.

Question

What is the volume of a cube in pints when the sides of the cube are 3.00 inches long? 

Answer 1

The volume of a cube is given by l³ where l is the length of one side.

Here l = 3 inches

Volume = 3.00³ inches = 27.0 cubic inches

Now we need to convert 27.0 cubic inches into pints.

Here are the conversion factors that we'll use....

1 cubic inch = 0.01731602 quarts

2 pints = 1 quart

Using dimensional analysis, we have...

27.0 cubic inches x 0.01731602 quarts/cubic inch x 2 pints/quart = 0.93506508 pints

Rounding off to 3 sig. figs. (based on 3.00 having 3 sig. figs.) our answer would be 0.935 pints