PSAT Math Multiple-Choice Question 611: Answer and Explanation

Question: 611

If the volume of a pyramid is given by the formula V = lwh, where V is the volume, l is the length, w is the width, and h is the height, what is the width of the pyramid in terms of the other variables?

• A.
• B.
• C.
• D.

Correct Answer: C

Explanation:

(C) This problem is simply asking you to isolate the w variable. To begin, let's move the constant to the left side of the equation by dividing both sides by .

Dividing by is the same as multiplying by 3. (Remember that dividing by a fraction is the same as multiplying by its reciprocal.) So we're left with:

3V = lwh

Next, let's divide both sides by l:

The final step is to divide both sides by h, giving us our final answer:

This is choice (C).