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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.
We are given the following inequality:
If we replace b = 2, we get:
Now we solve for "a" first by subtracting 8 on both sides:
Now we divide both sides by 6
Simplifying:
Therefore, for b = 2, the possible values of "a" are those that are greater than 1/3