Final answer:
The stack of the wooden and cardboard boxes will be 12 centimeters tall, with the wooden box being 7 centimeters tall and the cardboard box being 5 centimeters tall.
Step-by-step explanation:
If the wooden box is 7 centimeters tall and the cardboard box is 2 centimeters shorter than the wooden box, then the cardboard box is 7 cm - 2 cm = 5 cm tall. When Sarah stacks the cardboard box on top of the wooden one, the total height of the stack would be the height of the wooden box plus the height of the cardboard box.
Therefore, the height of the stack is:
Height of wooden box + Height of cardboard box = 7 cm + 5 cm = 12 cm. The correct answer to how many centimeters tall will the stack be is 12 centimeters.
To find the height of the stack, we need to add the heights of the cardboard box and the wooden box. Since the wooden box is 7 centimeters tall, we add 7 centimeters to the height of the cardboard box. Given that the wooden box is 2 centimeters taller than the cardboard box, the height of the cardboard box is 7 - 2 = 5 centimeters. Adding the heights of the two boxes, the stack will be 7 + 5 = 12 centimeters tall.