How many cubic yards of material were removed from a trench that is 4,100 feet long, 4 feet wide, and 6 feet deep?

To determine the volume of material removed from the trench, it's important to use the formula for calculating the volume of a rectangular prism, which is length multiplied by width multiplied by depth.

In this scenario, the trench dimensions are:

• Length: 4,100 feet

• Width: 4 feet

• Depth: 6 feet

First, calculate the volume in cubic feet:

Volume = Length × Width × Depth

Volume = 4,100 feet × 4 feet × 6 feet

Volume = 98,400 cubic feet

Next, to convert cubic feet into cubic yards, it's necessary to understand the conversion factor between these two units. There are 27 cubic feet in one cubic yard. Therefore, to convert cubic feet to cubic yards, divide the volume in cubic feet by 27:

Volume in cubic yards = Volume in cubic feet ÷ 27

Volume in cubic yards = 98,400 cubic feet ÷ 27

Volume in cubic yards = 3,644.44 cubic yards

Since we're looking for a whole number, we can round this down to 3,644 cubic yards. This matches the answer provided, illustrating the correct calculation and conversion process involved in determining the volume of the trench.