Scale Factors and Area Calculations

The video tutorial covers Lesson 12 practice problems, focusing on scale and area calculations. It begins with an introduction to the Empire State Building problem, followed by a detailed discussion on selecting appropriate scales for drawings. The tutorial explains the relationship between area and scale factors, identifies equivalent scales, and solves related problems. It also includes calculations for the area of scaled triangles and cost calculations using powers of 10. Finally, it addresses determining ratios for making soap solutions.

What is the height of the Empire State Building including the antenna?

• 1,200 feet

• 1,800 feet

• 1,400 feet

• 1,600 feet

Which scale option would require the least amount of paper for the Empire State Building drawing?

• 1 inch = 1 foot

• 1 inch = 100 feet

• 1 inch = 1 mile

• 1 cm = 1 meter

If a scale drawing of a house has an area of 25 square inches, what is the actual area of the house?

• 100 square feet

• 625 square feet

• 225 square feet

• 400 square feet

What is the scale factor if the scale drawing area is 1/81 of the actual area?

• 1/9

• 1/81

• 81

• 9

Which of these scales is equivalent to 3 cm to 4 km?

• 1 cm = 1 km

• 1 cm = 4 km

• 1 cm = 12 km

• 3 mm = 40 m

How many millimeters are there in 3 cm?

• 10 mm

• 20 mm

• 40 mm

• 30 mm

If water costs $1.25 per bottle, what is the cost of 10 bottles?

• $20.00

• $12.50

• $10.50

• $15.00

What is the cost of 50 bottles of water if each costs $1.25?

• $100.00

• $75.00

• $62.50

• $50.00

How many cups of water are needed for 8 batches if 1 batch requires 6 cups?

• 24 cups

• 36 cups

• 60 cups

• 48 cups

If 1 batch requires 1 cup of detergent, how many cups are needed for 8 batches?

• 10 cups

• 8 cups

• 6 cups

• 4 cups