Scale Drawing: What is the real length of the bus

In summary, a scale drawing is a representation of an object or space at a proportionally smaller or larger size to accurately show its details and dimensions. The scale of a drawing is determined by comparing its dimensions to the actual object or space, often using a ratio. To calculate the real length of an object from a scale drawing, divide the length of the corresponding line by the scale. The purpose of using a scale drawing is to accurately represent details and dimensions in a smaller size, and accuracy can be ensured by careful measurements and tools such as rulers or computer programs.
  • #1
dave3
1
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.
 
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  • #2
Re: Scale Drwaing

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

$x = \dfrac{(3 \, m)(10 \, \cancel{cm})}{4 \, \cancel{cm}} = 7.5 \, m$
 

1. What is a scale drawing?

A scale drawing is a representation of an object or space that is drawn to a smaller or larger size than the actual object or space. It is used to show the proportions and dimensions of the object or space in a more manageable size.

2. How is the scale determined in a scale drawing?

The scale is determined by comparing the length or size of the object in the drawing to the actual length or size of the object. This is usually represented as a ratio, such as 1:10, where one unit on the drawing represents 10 units in real life.

3. How do you calculate the real length of an object from a scale drawing?

To calculate the real length of an object from a scale drawing, you need to know the scale and the length of the object in the drawing. You can then use the scale factor to multiply the length in the drawing and get the real length. For example, if the scale is 1:10 and the length in the drawing is 5 inches, the real length would be 50 inches (5 x 10 = 50).

4. Can a scale drawing be used to measure distances?

Yes, a scale drawing can be used to measure distances as long as the scale is accurate and the measurements are taken correctly. However, it is important to note that the measurements will not be exact and may have some degree of error.

5. How can scale drawings be helpful in real life?

Scale drawings are helpful in many real-life situations, such as in architecture, engineering, and design. They allow us to visualize and plan spaces and objects before they are built or created. They also help us understand the proportions and dimensions of an object or space and make accurate measurements.

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