Question

this is a scale model of a table. 1 centimeter represents 6 inches. answer the following. (a) in the scale model, the length of the table is 4 centimeters. what is the length of the real table? (b) the height of the real table is 12 inches. what is the height of the table in the scale model? scale: 1 cm : 6 in

Explanation:

Part (a)

Step1: Identify the scale

The scale is \( 1 \, \text{cm} : 6 \, \text{in} \), which means 1 centimeter on the model represents 6 inches in real life.

Step2: Calculate real length

The model length is 4 centimeters. To find the real length, multiply the model length by the scale factor. So, \( 4 \times 6 = 24 \) inches.

Step1: Identify the scale

The scale is \( 1 \, \text{cm} : 6 \, \text{in} \), so 6 inches in real life is 1 centimeter on the model.

Step2: Calculate model length

The real height is 12 inches. To find the model length, divide the real length by the scale factor (since \( \text{model length} = \frac{\text{real length}}{\text{scale factor}} \)). So, \( \frac{12}{6} = 2 \) centimeters.

Answer:

24 inches

Part (b)