Question

a scale model of a television, 1 centimeter represents 6 inches.
scale
1 cm : 6 in
answer the following.
(a) in the scale model, the height of the television is 9 centimeters. what is the height of the real television?
inches
(b) the length of the real television is 48 inches. what is the length of the television in the scale model?
centimeters

Explanation:

Part (a)

Step1: Identify the scale factor

The scale is \(1\) cm represents \(6\) inches, so the scale factor is \(6\) inches per centimeter.

Step2: Calculate real height

To find the real height, multiply the model height (in cm) by the scale factor. The model height is \(9\) cm. So, \(9\times6 = 54\).

Step1: Identify the scale factor

The scale is \(1\) cm represents \(6\) inches, so to find the model length (in cm), divide the real length (in inches) by the scale factor.

Step2: Calculate model length

The real length is \(48\) inches. So, \(\frac{48}{6}=8\).

Answer:

54

Part (b)