Calculating Building Heights from Blueprints

The video tutorial explains how to use a scale factor to determine the height of an eight-story building from a blueprint. It starts by defining the scale factor as two inches equals 24 feet and demonstrates how to set up a proportion to find the building's height. By multiplying the scale factor, the actual height is calculated to be 72 feet. The tutorial then shows how to find the height of one floor by dividing the total height by eight, resulting in a floor height of nine feet.

What is the scale factor given in the problem?

• 1 inch equals 12 feet

• 2 inches equals 24 feet

• 3 inches equals 36 feet

• 4 inches equals 48 feet

How can the scale factor be simplified?

• 1 inch equals 16 feet

• 1 inch equals 12 feet

• 1 inch equals 10 feet

• 1 inch equals 14 feet

What is the first step in forming a proportion to find the building's height?

• Set two ratios equal to each other

• Multiply the scale factor by 4

• Subtract the scale factor from the blueprint measurement

• Add the scale factor to the blueprint measurement

What is the unknown variable in the proportion used to find the building's height?

• The number of floors

• The height in feet

• The width of the building

• The length in inches

How do you calculate the actual height of the building from the blueprint measurement?

• Multiply the blueprint measurement by 4

• Multiply the blueprint measurement by 3

• Multiply the blueprint measurement by 2

• Multiply the blueprint measurement by 5

What is the actual height of the eight-story building?

• 84 feet

• 96 feet

• 60 feet

• 72 feet

How do you find the height of one floor?

• Divide the total height by 9

• Divide the total height by 8

• Divide the total height by 7

• Divide the total height by 6

What is the height of one floor in the building?

• 8 feet

• 9 feet

• 7 feet

• 10 feet

What is the purpose of using a scale factor in a blueprint?

• To change the building's design

• To accurately represent the building's dimensions

• To increase the size of the building

• To reduce the size of the building

What is the final step in solving the problem?

• Recalculating the building's width

• Rechecking the scale factor

• Dividing the total height by the number of floors

• Multiplying the total height by the number of floors