Percentage, Area, and Volume Problems

This lesson covers fractional lengths in geometry, focusing on calculating volumes and areas in cubes, prisms, and triangles. It includes practical examples like building a fence and saving money, emphasizing mathematical reasoning and problem-solving skills.

How many smaller cubes with a half-inch edge are needed to build a larger cube with a 4-inch edge?

• 512

• 256

• 1024

• 128

If a triangle has an area of 7 7/8 cm² and a base of 5 1/4 cm, what is the height?

• 2 cm

• 3 cm

• 5 cm

• 4 cm

Which expression can be used to find how many 1/3 unit cubes fit in a 5x5x8 unit prism?

• 5 x 5 x 8

• 5 x 5 x 8 x 27

• 5 x 5 x 8 x 3

• 5 x 3 x 5 x 3 x 8 x 3

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

• 22

• 20

• 26

• 24

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

• 7 1/2

• 3 1/2

• 5

• 15/2

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

• 20

• 30

• 40

• 60

Lynn has saved $37.50 towards her $75 goal. What percentage of her goal has she saved?

• 25%

• 100%

• 50%

• 75%

Noah has saved $45 towards his $60 goal. What percentage of his goal remains?

• 10%

• 15%

• 25%

• 50%

What is the result of dividing 17/20 by 1/4?

• 4 1/4

• 3 2/5

• 17/5

• 5

A bucket is 5/6 full with 11 2/3 gallons of water. How many gallons does it hold when full?

• 12 gallons

• 15 gallons

• 13 gallons

• 14 gallons