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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.
ANSWER
The correct answer is option B.
EXPLANATION
We can only multiply two matrices if and only if the number of columns in the first matrix is equal to the number of rows in the second matrix.
The first matrix given to us has the dimension,
This matrix has 5 columns.
So the second matrix must have 5 rows.
Among the possible answers, the matrix that has 5 rows is the one with dimension,
Therefore the correct answer is B.
Note that, the dimension of a matrix is given by
The correct answer is option B.
EXPLANATION
We can only multiply two matrices if and only if the number of columns in the first matrix is equal to the number of rows in the second matrix.
The first matrix given to us has the dimension,
This matrix has 5 columns.
So the second matrix must have 5 rows.
Among the possible answers, the matrix that has 5 rows is the one with dimension,
Therefore the correct answer is B.
Note that, the dimension of a matrix is given by