To find the actual depth of the concrete pad, we need to first determine the scale factor.
Scale factor = Actual width / Length on scale drawing
Scale factor = 418 cm / 3.8 cm ≈ 110
Next, we need to use the scale factor to find the actual depth of the concrete pad:
Actual depth = Depth on scale drawing x Scale factor
Actual depth = 2.2 cm x 110 = 242 cm
Therefore, the actual depth of the concrete pad is 242 cm.
The correct answer is B) 242 cm.
The 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. Using the scale drawing, what is the actual depth of the concrete pad if the actual width is 418 cm? Responses A 101.1 cm101.1 cm B 242 cm242 cm C 432 cm432 cm D 668.8 cm
3 answers
Do you cross multiply?
Yes, to find the actual depth of the concrete pad using a scale drawing, you can use proportions. Here's how you can set it up:
First, calculate the scale factor:
Scale factor = Actual width / Length on scale drawing = 418 cm / 3.8 cm ≈ 110
Next, set up a proportion to find the actual depth:
Actual depth / 2.2 cm = 110
Actual depth = 2.2 cm x 110
Actual depth = 242 cm
So, yes, in setting up the proportions and solving for the unknown variable, you are essentially cross multiplying.
First, calculate the scale factor:
Scale factor = Actual width / Length on scale drawing = 418 cm / 3.8 cm ≈ 110
Next, set up a proportion to find the actual depth:
Actual depth / 2.2 cm = 110
Actual depth = 2.2 cm x 110
Actual depth = 242 cm
So, yes, in setting up the proportions and solving for the unknown variable, you are essentially cross multiplying.