Quiz Discussion

Title: Length

Grade: 6-a Lesson: S3-L1

Explanation: Hello students, let us discuss few problems on this topic with steps and answers provided for each problem.

Quiz: Discussion in Class

Table 1. Solve the problem
Problem Id Problem Answer

Steps 1

Sarah is planning a road trip from her home to a national park. She needs to calculate the distance in inches, feet, yards, and miles. The total distance from her home to the park is 320,000 inches. She knows that 1 foot equals 12 inches, 1 yard equals 3 feet, and 1 mile equals 1,760 yards. How far is the national park in feet, yards, and miles from her home?

A) 23,666.67 feet, 8,888.89 yards, 5.03 miles

B) 26,666.67 feet, 8,888.89 yards, and 5.03 miles

C) 26,666.67 feet, 8,778.89 yards, and 1.23 miles

D) 26,555.76 feet, 6,888.98 yards, and 5.03 miles

Steps 2

John is planning a hiking trip, and he wants to determine the length of the trail he will be hiking in inches, feet, yards, and miles. The trail is 10,000 yards long. John knows that 1 yard equals 3 feet, 1 foot equals 12 inches, and 1 mile equals 1,760 yards. How long is the hiking trail in feet, inches, and miles?

A) 12,000 feet, 36,000 inches, 5.68 miles

B) 300 feet, 3600 inches, 5.68 miles

C) 15,000 feet, 320,000 inches, 6.68 miles

D) 30,000 feet, 360,000 inches, 5.68 miles

Steps 3

A rock climber is ascending a 170-foot cliff. If the climber starts at the base of the cliff and the rope is anchored 10 feet above the ground, how long does the climbing rope need to be for the entire ascent?

A) 160 feet

B) 150 feet

C) 140 feet

D) 180 feet

Steps 4

Engineers are designing a suspension bridge with two main towers. The distance between the towers is 1,000 feet, and the height of each tower is 150 feet. What is the length of the suspension cable needed to connect the two towers?

A) 1011.23 feet

B) 2011.18 feet

C) 1511.18 feet

D) 1211.18 feet

Steps 5

A construction site needs to pour a concrete foundation that is 18 inches thick. If the dimensions of the foundation are 40 feet by 60 feet, how many cubic yards of concrete are required?

A) 111.33 cubic yards

B) 333.33 cubic yards

C) 133.33 cubic yards

D) 211.22 cubic yards


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