Question

HELP! A scale model of an ancient Egyptian pyramid is 29 centimeters high, with a base length of 46 centimeters.

The height of the real pyramid is 145 meters. What is the base length of the real pyramid?

Enter your answer, in simplest form, in the box

Answer 1

Scale models are used to draw large scale models on paper using smaller dimensions. The dimensions on paper should be in the proper ratio as in the actual model.
In this question, the height of the real pyramid is 145 meters.
However in the drawing, 145 meters have been represented in 29 cm.
lets make both measurements in the same unit,
145 m ---> 14 500 cm
29 cm
29 cm on the scale diagram represents 14 500 cm on the actual model
therefore 1 cm represents - 14 500/29 = 500 cm on the actual model
Therefore ratio is 1:500

base length of the scale pyramid is - 46 cm
1 cm on model represents 500 cm
Therefore 46 cm represents ---> 46 x 500 cm
the actual base length = 23 000 cm
= 230 m