Problem:
A two-inch cube of silver weighs pounds and is worth . How much is a three-inch cube of silver worth?
Answer Choices:
A.
B.
C.
D.
E.
Solution:
The volume of a two-inch cube is , while that of a three-inch cube is . Therefore, the weight and value of the larger cube is times that of the smaller. .
Note: The actual weight of the cubes is not needed to solve the problem.
Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions