MHB Scale Drawing: What is the real length of the bus

Click For Summary
The scale of the model bus is 4 cm to 3 m, indicating that 4 cm on the model represents 3 m in reality. Given that the model is 10 cm long, the calculation shows that the real length of the bus is 7.5 m. The formula used confirms that the conversion from the model's length to the actual length is accurate. There is no need to convert cm to m in this context, as the calculations directly yield the real length. The final answer is that the real length of the bus is 7.5 m.
dave3
Messages
1
Reaction score
0
QS) A model of a bus has a scale of 4cm to 3m. The model is 10cm long. What is the real length of the bus?

my workout: 4cm to 3m. 4 cm is length of model and 3m is real length.
so we have, mode = 10 cm long

so 4 cm to 10 cm: 10/4= 2.5 cm

for real length 3 X 2.5= 7.5 m.

I am not sure about my ans. Do i need to convert cm to m? Please anyone give better explanation. Thank you.
 
Mathematics news on Phys.org
Re: Scale Drwaing

$\dfrac{3 \, m}{4 \, cm} = \dfrac{x}{10 \, cm}$

$x = \dfrac{(3 \, m)(10 \, \cancel{cm})}{4 \, \cancel{cm}} = 7.5 \, m$
 
Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?

Similar threads

Replies
2
Views
3K
Replies
2
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
Replies
1
Views
2K
  • · Replies 7 ·
Replies
7
Views
10K
Replies
17
Views
2K
  • · Replies 13 ·
Replies
13
Views
3K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 1 ·
Replies
1
Views
3K