Question

If a scale drawing of a concrete pad has a length of 9.1 cm, a depth of 2.2 cm and a width of 3.8 cm, what is the actual depth of the concrete pad if the actual width is 418 cm?

Answer 1

To find the actual depth of the concrete pad, we need to use the scale factor to convert the measurements from the scale drawing to the actual measurements.

Given:
- Scale drawing length = 9.1 cm
- Scale drawing depth = 2.2 cm
- Scale drawing width = 3.8 cm
- Actual width = 418 cm

First, find the scale factor by dividing the actual width by the scale drawing width:
Scale factor = Actual width / Scale drawing width
Scale factor = 418 cm / 3.8 cm
Scale factor = 110

Now, multiply the scale factor by the scale drawing depth to find the actual depth:
Actual depth = Scale drawing depth x Scale factor
Actual depth = 2.2 cm x 110
Actual depth = 242 cm

Therefore, the actual depth of the concrete pad is 242 cm.