Unit Scale and Dimension Conversion

This video tutorial explains the concept of unit scale, a ratio comparing scaled and actual dimensions. It provides examples of using unit scale to calculate actual distances on a map, determine the height of a tower, and create a proportional sketch of a garden. The video demonstrates setting up proportions and solving them using cross products.

What is a unit scale?

• A unit of weight

• A type of map

• A ratio comparing scaled dimensions to actual dimensions

• A measurement of time

If a map legend states that 1/4 inch equals 5 miles, what does this represent?

• A distance in kilometers

• A time conversion

• A weight measurement

• A unit scale

How do you calculate the actual distance using a unit scale?

• By using cross products to solve a proportion

• By dividing the scaled length by the unit scale

• By multiplying the scaled length by the unit scale

• By adding the scaled length to the unit scale

What is the actual distance between two towns if the map distance is 3.5 inches and the unit scale is 1/4 inch equals 5 miles?

• 140 miles

• 70 miles

• 35 miles

• 17.5 miles

In the tower example, what is the first step to find the actual height?

• Estimate the height visually

• Measure the tower with a ruler

• Convert the unit scale to a decimal

• Draw a new diagram

What is the actual height of the tower if the scaled height is 2.25 inches and the unit scale is 1/2 inch equals 500 feet?

• 1125 feet

• 5000 feet

• 2250 feet

• 4500 feet

How do you convert actual dimensions to scaled dimensions using a unit scale?

• By using cross products to solve a proportion

• By adding the actual dimensions to the unit scale

• By multiplying the actual dimensions by the unit scale

• By dividing the actual dimensions by the unit scale

What would be the scaled length of a garden that is 12 feet long using a unit scale of 1/2 inch equals 4 feet?

• 1.5 inches

• 3 inches

• 6 inches

• 12 inches

What would be the scaled width of a garden that is 30 feet wide using a unit scale of 1/2 inch equals 4 feet?

• 2.5 inches

• 3.75 inches

• 5 inches

• 7.5 inches

What is the final step in converting actual dimensions to scaled dimensions?

• Ensure the result is in the same unit as the unit scale

• Check the result against the original dimensions

• Round the result to the nearest whole number

• Convert the result to a fraction