Question

A scale model of a building has a scale of 3 : 79.

Answer 1

Answer:

The height of the scale model is of 91.14 cm.

Step-by-step explanation:

Scale problems are solved by proportions, using rule of three.

A scale model of a building has a scale of 3 : 79.

This means that 3m on the drawing represent 79m of real height.

The height of the real building is 24 m.

3m - 79m

xm - 24m

Applying cross multiplication

$79x = 72$

$x = \frac{72}{79}$

$x = 0.9114$

In centimeters:

Multiplying by 100:

0.9114*100 = 91.14 cm.