A model of a building has a scale factor of 1 cm equals 30 inches. If a room is 13 feet long, what size will it be in the model?
13 ft + 12 in/ft = 156 inches
156 in * (1 cm / 30 in) = 15.6 / 3 cm
about 5.2 cm
x/(13*12) = 1/30
To determine the size of the room in the model, we need to use the given scale factor and convert the measurements accordingly.
Given: Scale factor = 1 cm : 30 inches
Step 1: Convert the room length from feet to inches.
1 foot = 12 inches
13 feet = 13 * 12 inches = 156 inches
Step 2: Use the scale factor to find the size of the room in the model.
1 cm : 30 inches means 1 inch in the model is represented by (1/30) cm.
So, for the room length of 156 inches, the corresponding size in the model is:
156 inches * (1/30) cm/inch = 5.2 cm
Therefore, the room will be 5.2 cm long in the model.
To find the size of the room in the model, we can use the given scale factor of 1 cm equals 30 inches. Here's how we can calculate it:
1. Start with the length of the room, which is given as 13 feet.
2. Convert the length from feet to inches. Since 1 foot is equal to 12 inches, multiply the length of the room by 12:
13 feet * 12 inches/foot = 156 inches.
3. Now we have the length of the room in inches. To find the size in the model, we need to use the scale factor of 1 cm equals 30 inches.
4. Divide the length in inches by the scale factor to find the size in centimeters:
156 inches / 30 inches = 5.2 cm.
5. Therefore, the size of the room in the model will be 5.2 cm.