Practical Applications of Fractions and Percentages

This lesson covers fractional lengths in triangles and prisms. It includes problems on building a larger cube using smaller cubes, calculating the height of a triangle, determining how many small cubes fit in a prism, calculating the number of boards needed for a fence, finding the value of mathematical expressions, determining the full capacity of a bucket, calculating how many kids are not wearing socks, and determining the percentage of savings goals achieved.

How many smaller cubes with an edge length of half an inch are needed to build a larger cube with an edge length of four inches?

• 1024

• 256

• 512

• 128

What is the height of a triangle with an area of 7 7/8 cm² and a base of 5 1/4 cm?

• 2 cm

• 3 cm

• 4 cm

• 5 cm

How many cubes with an edge length of one-third unit fit in a prism that is 5 units by 5 units by 8 units?

• 5400

• 2700

• 8100

• 3600

How many wooden boards are needed to build a fence that is 150 inches long if each board is 6 1/4 inches wide?

• 24

• 20

• 28

• 30

What is the result of dividing 2 1/7 by 2/7?

• 5

• 7 1/2

• 15/2

• 3 1/2

If a bucket contains 11 2/3 gallons of water and is 5/6 full, how many gallons would be in a full bucket?

• 18

• 14

• 16

• 12

If 75% of 80 kids in a gym are wearing socks, how many are not wearing socks?

• 40

• 20

• 50

• 30

Lynn wants to save $75 for a trip. If she has saved $37.50 so far, what percentage of her goal has she saved?

• 75%

• 50%

• 100%

• 25%

Noah wants to save $60 for a concert ticket. If he has saved $45 so far, what percentage of his goal has he saved?

• 90%

• 60%

• 50%

• 75%