Question

A car designer wants to build a car that measures 6 feet in height, 4 feet in width and 10 feet in length. he needs to construct a three dimensional scale model of the car first. determine the measurements are appropriate for the scale model given a height of 6 inches.

Answer 1

Using a scale factor where 1 inch equals 1 foot, the scale model of the car should measure 6 inches in height, 4 inches in width, and 10 inches in length.

Step-by-step explanation:

To determine the appropriate measurements for the scale model of the car, given that the height of the scale model is 6 inches, we must establish a scale factor based on the actual size and the model size of the car. The actual car is 6 feet in height, and the model is 6 inches in height, which gives us a scale factor of 1 inch = 1 foot (since 6 inches is to 6 feet as 1 inch is to 1 foot). Now we must apply this scale factor to the other dimensions of the car.

For the width:

• Actual width of the car: 4 feet
• Scale factor: 1 inch = 1 foot
• Scale model width: 4 feet x (1 inch / 1 foot) = 4 inches

For the length:

• Actual length of the car: 10 feet
• Scale factor: 1 inch = 1 foot
• Scale model length: 10 feet x (1 inch / 1 foot) = 10 inches
  

Therefore, using a scale factor where 1 inch equals 1 foot, the dimensions for the scale model of the car should be 6 inches in height, 4 inches in width, and 10 inches in length.