Final answer:
To determine the stack height, calculate the cube root of each block's volume to find the side lengths and add them up. The closest answer to the sum of these cube roots (25.98 inches) is 24 inches, which is option B.
Step-by-step explanation:
To solve this problem, we need to first understand that the volume of a cube-shaped block is calculated as the cube of the length of its sides since all sides in a cube are equal. Given the volumes of the blocks are 375, 648, and 1029 cubic inches, we must determine the length of a side for each block by finding the cube root of each volume. We can then sum up all the side lengths to find the total height of the stack.
The cube root of 375 is 7.21 inches (rounded), the cube root of 648 is 8.68 inches (rounded), and the cube root of 1029 is 10.09 inches (rounded). Adding these together gives us a total height of approximately 7.21 + 8.68 + 10.09 = 25.98 inches. Since this is a multiple-choice question, we need to select the closest answer which is B) 24 inches.