Answer:
Explanation:
To construct a diagonal scale of 1:2.5 to show centimeters and milliliters, and long enough to measure up to 20 centimeters, we can follow these steps:
1. Determine the length of the scale: Since we need to measure up to 20 centimeters, we can choose a convenient length for our scale, such as 20 centimeters itself.
2. Divide the length of the scale into equal parts: Divide the chosen length (20 centimeters) into 10 equal parts. Each part will represent 2 centimeters.
3. Label the divisions: Starting from one end of the scale, label each division incrementally from 0 to 20 centimeters, with each mark representing 2 centimeters.
4. Calculate the corresponding milliliter values: Since the scale is 1:2.5, we need to determine the corresponding milliliter values for each centimeter increment. Multiply each centimeter value by 2.5 to get the milliliter value. For example, at 2 centimeters, the corresponding milliliter value would be 5 milliliters (2 cm × 2.5 mL/cm = 5 mL).
5. Mark the milliliter values: On the scale, below each centimeter marking, write the corresponding milliliter value. For example, below the 2 centimeter mark, write "5 mL."
6. Extend the scale: If the initial 20 centimeters of the scale is not enough to accommodate 13.4 centimeters, you can extend the scale further. Simply continue the pattern of dividing into equal parts and labeling the centimeter and milliliter values until you reach a length that can accommodate 13.4 centimeters.
Once you have constructed the scale, you can use it to measure 13.4 centimeters by aligning the given measurement with the corresponding centimeter marking on the scale. The milliliter value can also be read directly below the centimeter marking.
Remember to double-check your calculations and ensure the accuracy of your measurements on the scale.
