A gift box is being constructed in the shape of a right rectangular prism. The base is 15 inches squared and the height is 5 inches. What will the volume of the gift box be?
The volume of a rectangular prism is found by multiplying the length times the width times the height. In this case, the base has an area of 15 inches squared, so the length times the width must equal 15. Let's say the length is L and the width is W. We have LW = 15. We are also told that the height is 5 inches. So the volume is 5LW. We could solve for L in terms of W or W in terms of L, but no matter which way we do it, the final answer will be the same. We could, for example, solve the equation LW=15 for L by dividing both sides of the equation by W. That gives L = 15/W. Then multiplying L by W by 5 gives 5*15=75. So the volume of the gift box is 75 cubic inches. Answer: \boxed{75}.
