Question

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

Explanation:

Part (a)

Step1: Identify the scale

The scale is \(1\) cm : \(6\) in, meaning \(1\) cm in the model represents \(6\) inches in real. The model length is \(4\) cm.

Step2: Calculate real length

To find the real length, multiply the model length by the scale factor. So, real length \(= 4\times6\) inches.
\(4\times6 = 24\)

Step1: Identify the scale

The scale is \(1\) cm : \(6\) in, so to find the model length, divide the real length by the scale factor (since \(1\) cm corresponds to \(6\) in, model length in cm \(=\frac{\text{real length in inches}}{6}\)). The real height is \(12\) inches.

Step2: Calculate model height

Model height \(=\frac{12}{6}\) cm.
\(\frac{12}{6}=2\)

Answer:

24 inches

Part (b)