Distance, Speed, and Volume Problems

This video tutorial covers various mathematical concepts using practical examples. It begins with explaining double number line diagrams through a lemonade mixing scenario, followed by maintaining ratios in bread recipes using tables and diagrams. The tutorial then shifts to calculating travel distances and speeds using tables and double number lines, comparing the travel speeds of two individuals. It also includes calculating the number of batches for a sports drink recipe and concludes with determining the surface area and volume of a cube.

What is the ratio of water to lemonade powder in the first example?

• 2:1.5

• 3:2

• 6:4.5

• 4:3

In the bread recipe, what is the ratio of olive oil to garlic?

• 2:1

• 1:2

• 2:3

• 3:2

How many times does 3 go into 20 when calculating the double number line for the bread recipe?

• 4

• 7

• 5

• 6

What is the distance Claire travels in one hour if she travels 72 miles in two hours?

• 36 miles

• 144 miles

• 72 miles

• 108 miles

How far does Claire travel in 3 hours?

• 108 miles

• 72 miles

• 144 miles

• 216 miles

Who traveled faster in the first half hour, Lynn or Diego?

• Lynn

• Diego

• Both traveled at the same speed

• Cannot be determined

After lunch, who traveled faster over 60 miles, Lynn or Diego?

• Both traveled at the same speed

• Lynn

• Cannot be determined

• Diego

How many batches of sports drink can be made with 5 tablespoons of mix and 36 ounces of water?

• 1 batch

• 2 batches

• 3 batches

• 4 batches

What is the surface area of a cube with sides of length 3?

• 54 square units

• 27 square units

• 36 square units

• 81 square units

What is the volume of a cube with sides of length 3?

• 36 cubic units

• 54 cubic units

• 27 cubic units

• 81 cubic units