Percentage and Volume Word Problems

Mr. Richards reviews grade six practice problems on fractional lengths, triangles, and prisms. The video covers various math problems, including calculating the number of cubes needed to build a larger cube, finding the height of a triangle, determining how many small cubes fit into a prism, calculating the number of boards for a fence, solving expressions with fractions, determining the full capacity of a bucket, and solving percentage problems related to savings and socks.

How many small cubes with an edge length of 1/2 inch are needed to build a larger cube with an edge length of 4 inches?

• 512

• 128

• 64

• 256

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

• 2 cm

• 3 cm

• 4 cm

• 5 cm

Which expression can be used to find how many cubes with edge length 1/3 unit fit into a prism that is 5 by 5 by 8 units?

• 5 x 5 x 8

• 5 x 3 x 5 x 3 x 8 x 3

• 5 x 1/3 x 5 x 1/3 x 8 x 1/3

• 5 x 5 x 8 x 1/3

How many boards are needed to build a fence that is 150 inches long using 6 1/4 inch wide boards?

• 24

• 22

• 20

• 26

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

• 8

• 7.25

• 7.5

• 7

If a bucket contains 11 2/3 gallons of water and is 5/6 full, how many gallons does the full bucket hold?

• 12 gallons

• 13 gallons

• 15 gallons

• 14 gallons

What is the result of dividing 1720 by 1/4?

• 3440

• 1720

• 6880

• 430

What percentage of her goal has Lin saved if she has saved $37.50 towards a $75 goal?

• 25%

• 50%

• 75%

• 100%

If 75% of 60 kids in a gym are wearing socks, how many are not wearing socks?

• 30

• 15

• 20

• 25

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

• 60%

• 80%

• 50%

• 75%