a scale drawing has a scale of 1cm:3m explain how the scale can be used to find the actual distance between objects in the drawing
Assume 5 cm is measured on the drawing.
d = 5cm * 3m/1cm = 15 m. = Actual distance.
what does this mean
To use the given scale of 1cm:3m to find the actual distance between objects in the drawing, you need to follow these steps:
1. Measure the distance between the objects in centimeters on the scale drawing.
2. Convert the centimeters to meters using the given scale ratio. In this case, every 1 centimeter on the drawing represents 3 meters in real life.
3. Multiply the converted distance in meters by the scale ratio to find the actual distance.
Let's consider an example:
Suppose the distance between two points on the scale drawing is measured as 4.5 centimeters.
1. Measure the distance between the objects in centimeters on the scale drawing: 4.5 centimeters.
2. Convert the centimeters to meters using the given scale ratio. Since 1 centimeter on the drawing represents 3 meters in real life, divide 4.5 centimeters by the scale ratio: 4.5 cm ÷ 1 cm/3 m = 13.5 meters.
3. Multiply the converted distance of 13.5 meters by the scale ratio of 1cm:3m: 13.5 m × 3 m/1 cm = 40.5 meters.
Therefore, the actual distance between the two objects in real life is 40.5 meters.
To use the scale of 1cm:3m to find the actual distance between objects in a scale drawing, you need to follow these steps:
1. Identify the distance between the objects on the scale drawing. Let's say it measures 5 centimeters (5cm).
2. Determine the ratio between the scale on the drawing and the actual size. In this case, the scale is 1cm:3m, which means that 1cm on the drawing corresponds to 3 meters in real life.
3. Set up a proportion using the ratio of the scale. Since 1cm corresponds to 3m, you can write the proportion as: 1cm / 3m = 5cm / x, where x represents the actual distance between the objects.
4. Solve the proportion for x. Cross-multiply: 1cm * x = 3m * 5cm.
5. Simplify and convert units if necessary. In this case, you can multiply 3m by 100 to convert it to centimeters. So, the equation becomes: 1cm * x = 3m (100cm/m) *5cm.
6. Calculate the value of x. Simplify the equation further: x = (3 * 100 * 5) / 1 = 1,500cm.
7. If needed, convert the result into a more commonly used unit. In this case, 1,500cm can be converted to meters by dividing by 100: 1,500cm / 100 = 15m.
Therefore, the actual distance between the objects in the scale drawing is 15 meters.