Answer :
To solve the question of how many centimeters tall the centrifuge should be in Mason's drawing, you can follow these steps:
1. Understand the scale: According to the scale mentioned, 1 centimeter in the drawing represents 6 meters in real life.
2. Calculate the scale factor: To determine how many real meters are represented by each centimeter in the drawing, note that [tex]\( 1 \text{ cm} = 6 \text{ meters} \)[/tex]. This means:
[tex]\[ \text{Scale factor} = \frac{1 \text{ cm}}{6 \text{ meters}} \][/tex]
3. Determine the real height of the centrifuge: The actual height of the centrifuge is given as 18 meters.
4. Apply the scale factor: To find out how many centimeters represent the 18 meters in the drawing, use the scale factor:
[tex]\[ \text{Drawing height in cm} = \text{Real height in meters} \times \left(\frac{\text{Scale factor}}\right) \][/tex]
5. Perform the calculation:
[tex]\[ \text{Drawing height in cm} = 18 \text{ meters} \times \left(\frac{1 \text{ cm}}{6 \text{ meters}}\right) = \frac{18 \text{ meters}}{6} = 3 \text{ cm} \][/tex]
Therefore, in Mason's drawing, the centrifuge should be 3 centimeters tall.
1. Understand the scale: According to the scale mentioned, 1 centimeter in the drawing represents 6 meters in real life.
2. Calculate the scale factor: To determine how many real meters are represented by each centimeter in the drawing, note that [tex]\( 1 \text{ cm} = 6 \text{ meters} \)[/tex]. This means:
[tex]\[ \text{Scale factor} = \frac{1 \text{ cm}}{6 \text{ meters}} \][/tex]
3. Determine the real height of the centrifuge: The actual height of the centrifuge is given as 18 meters.
4. Apply the scale factor: To find out how many centimeters represent the 18 meters in the drawing, use the scale factor:
[tex]\[ \text{Drawing height in cm} = \text{Real height in meters} \times \left(\frac{\text{Scale factor}}\right) \][/tex]
5. Perform the calculation:
[tex]\[ \text{Drawing height in cm} = 18 \text{ meters} \times \left(\frac{1 \text{ cm}}{6 \text{ meters}}\right) = \frac{18 \text{ meters}}{6} = 3 \text{ cm} \][/tex]
Therefore, in Mason's drawing, the centrifuge should be 3 centimeters tall.
