There are a total of 18 socks. If the ratio of purple socks to white socks is 2 to 4, how
2 answers:
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The volume of a rectangular prism is its length times width times height, or algebraically, 
. You may be used to computing volume with numbers, but remember, a variable is a stand-in for a number. So you can solve this in the same way. Substitute 
into the formula for volume. You get 
, and you multiply these factors together. As you would with ordinary fractions, multiply the numerators and denominators across. You get 
. It seems that the book wants you to simplify by bringing the 6 up to the denominator. Recall the rule 
, if n is non-negative. The opposite applies so that 
. For your final answer, you write 
. This corresponds to answer choice B.