2024 AMC 10B Problems/Problem 25
Solution 1
The block has side lengths of . The block has side lengths of .
We can create the following system of equations, knowing that the new block has 1 unit taller, deeper, and wider than the original:
Adding all the equations together, we get . Adding to both sides, we get . The question states that are all relatively prime positive integers. Therefore, our answer must be congruent to . The only answer choice satisfying this is . ~lprado