A model of a treehouse is made using a scale of 1 inch: 3 feet. What is the height of the actual treehouse if the height of the model is 5 1/3 inches?

1 answer

To solve this problem, we need to use the scale factor to convert the height of the model to the height of the actual treehouse.

The scale is 1 inch: 3 feet, which means that every 1 inch in the model represents 3 feet in reality.

To find the height of the actual treehouse, we need to multiply the height of the model by the scale factor:

Actual height = Model height x Scale factor

Model height = 5 1/3 inches

Scale factor = 3 feet/1 inch = 36 inches/1 inch

Actual height = (5 1/3 inches) x (36 inches/1 inch)

Actual height = 192 feet

Therefore, the height of the actual treehouse is 192 feet.