Final answer:
To solve this problem using the CUBES strategy, we need to follow the steps: Circle the numbers, Underline the question, Box the keywords, Evaluate the steps, and Solve and show your work. The largest length one side of the stamp could measure to fit in the toolkit is 11 centimeters. The area of one face of the cube is 121 square centimeters.
Step-by-step explanation:
To solve this problem using the CUBES strategy, we need to identify the key information and steps involved. CUBES stands for: Circle the numbers, Underline the question, Box the keywords, Evaluate the steps, and Solve and show your work.
1. Circle the numbers: The volume of the cube toolkit is given as 1,331 cubic centimeters.
2. Underline the question: What is the largest length one side of the stamp could measure to be sure it will fit in the toolkit?
3. Box the keywords: The keyword here is 'largest length.'
4. Evaluate the steps: To find the largest length, we need to find the cube root of the volume.
5. Solve and show your work: The cube root of 1,331 is approximately 11. Therefore, the largest length one side of the stamp could measure to fit in the toolkit is 11 centimeters.
To find the area of one face of the cube, we need to use the formula for finding the area of a square, which is side length squared. Since all sides of a cube are equal, we can use the value we found earlier, which is 11 centimeters. The area of one face of the cube is 11 * 11 = 121 square centimeters.
Learn more about CUBES strategy for problem solving