Final answer:
The real table's length is 24 inches, and the height of the table in the scale model is 2 centimeters, calculated using the given scale factor of 1 centimeter representing 6 inches.
Step-by-step explanation:
To solve the scale model problems, we will use the concept of scale and measurement to convert measurements of the model to real-life objects and vice versa.
Part (a)
In the scale model, the length of the table is given as 4 centimeters. Since 1 centimeter represents 6 inches, the length of the real table in inches can be found by the following calculation:
- Length in inches = Length in centimeters × Scale factor
- Length in inches = 4 cm × 6 inches/cm
- Length in inches = 24 inches
Part (b)
The height of the real table is given as 12 inches. To find the height in the scale model in centimeters, we can use the inverse of the scale factor:
- Height in centimeters = Height in inches ÷ Scale factor
- Height in centimeters = 12 inches ÷ 6 inches/cm
- Height in centimeters = 2 cm