sat suite question viewer
A park ranger hung squirrel houses each in the shape of a right rectangular prism for fox squirrels. Each house has a height of inches. The length of each house's base is inches, which is inch more than the width of the house's base. Which function gives the volume of each house, in cubic inches, in terms of the length of the house's base?
Explanation
Choice A is correct. The volume of a prism is equal to the area of its base times its height. It's given that the length of each house's base is inches and that this length is inch more than the width, in inches, of the house's base. It follows that the width, in inches, of the house's base is . The area of a rectangle is the product of its length and its width. Therefore, the area of the base of the house is square inches. It's given that the height of each house is inches. Therefore, the function that gives the volume of each house, in cubic inches, in terms of the length of the house's base is , or .
Choice B is incorrect and may result from conceptual or calculation errors.
Choice C is incorrect and may result from conceptual or calculation errors.
Choice D is incorrect and may result from conceptual or calculation errors.