The volume of a rectangular prism is given by the multiplication of its three dimensions: if are the width, height and length of the prism, the volume is
So, in your case, you have
Consider the following system:
2 answers:
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Option C: is the possible expressions for length, width and height of the prism.
Explanation:
The volume of the rectangular prism is
To determine the length, width and height of the rectangular prism, let us factor the expression.
Thus, factoring 5x from the expression, we have,
Let us break the expression into two groups, we get,
Factoring 4x from the term , we get,
Similarly, factoring 7x from the term , we get,
Now, let us factor out , we get,
Hence, the possible expressions for length, width and height of the prism is
Therefore, Option C is the correct answer.