Knowee
Questions
Features
Study Tools

Alis makes a scale model of a bus.The length of the real bus is 10.8 metres. The length of the scale model is 60 centimetres.Alis uses a scale of 1 : n where n is a whole number.(b) Find the value of n.

Question

Alis makes a scale model of a bus.The length of the real bus is 10.8 metres. The length of the scale model is 60 centimetres.Alis uses a scale of 1 : n where n is a whole number.(b) Find the value of n.

🧐 Not the exact question you are looking for?Go ask a question

Solution

To find the value of n, we need to understand the scale that Alis is using. The scale is 1:n, which means 1 unit on the model represents n units on the real bus.

First, we need to convert the length of the real bus from meters to centimeters because the length of the model is given in centimeters. We know that 1 meter is equal to 100 centimeters. So, 10.8 meters is equal to 10.8 * 100 = 1080 centimeters.

Now, we can set up a proportion to find the value of n. If 1 cm on the model represents n cm on the real bus, then 60 cm on the model represents 1080 cm on the real bus.

So, we have the proportion 1/n = 60/1080.

To solve for n, we can cross-multiply and get n = 1080/60 = 18.

So, the value of n is 18.

This problem has been solved

Similar Questions

A model city has a scale ratio of 1:1000. Find the scaled length of a train platform that is 45 m long in real life.

Scale is the proportion used in determining the relationship between an actual object and a model of the object.For example, real estate developers often make models of shopping centers. If a model of a store has a scale of 1 centimeter equaling 20 feet, what is the actual length of a store that measures 5 cm in length on the model? A. 100 feet B. 50 feet C. 200 feet D. 20 feet

The length of a car is 472 centimetres.Mikhail makes a scale model of the car using a scale of 1 : 20(a) Work out the length of the scale model.

In a scale model of a boat, 1 inch represents 10 feet.Scale:1 in  10 ftAnswer the following.(a)In the scale model, the length of the boat is 8 inches. What is the length of the real boat?feet(b)The height of the real boat is 30 feet. What is the height of the boat in the scale model?inches

Jamie drew a scale drawing of the town library. The scale of the drawing was 5 centimeters : 2 meters. The parking lot is 114 meters long in real life. How long is the parking lot in the drawing? centimeters

1/1

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.