Final answer:
To find the volume of the trench footing, calculate the volume in cubic feet (60' x 2' x 4' = 480 cubic feet) and then convert to cubic yards (480 cubic feet / 27 cubic feet per cubic yard = 17.78 cubic yards).
Step-by-step explanation:
To calculate the cubic yards excavated for a trench footing, we start with the formula for the volume of a rectangular prism (V = length × width × height). Here, the trench has a length of 60 feet, a width of 2 feet, and a depth of 4 feet. First, we compute the volume in cubic feet and then convert it to cubic yards because there are 3 feet in a yard, meaning there are 3 × 3 × 3=27 cubic feet in a cubic yard.
Step 1: Calculate the volume in cubic feet:
V = 60' × 2' × 4' = 480 cubic feet.
Step 2: Convert cubic feet to cubic yards:
V = 480 cubic feet ÷ 27 cubic feet per cubic yard = 17.78 cubic yards.
Therefore, the volume of the trench footing is 17.78 cubic yards. It's important to double-check the numbers to ensure accuracy when providing information on excavation projects.
To calculate the cubic yards excavated for the trench footing, we need to find the volume of the trench. The volume of a rectangular prism can be found by multiplying the length, width, and height. In this case, the length is 60 feet, the width is 2 feet, and the depth is 4 feet. So, the volume is 60 feet × 2 feet × 4 feet = 480 cubic feet.
Since there are 27 cubic feet in 1 cubic yard, we can divide the volume by 27 to get the cubic yards excavated. Therefore, 480 cubic feet ÷ 27 = 17.78 cubic yards (rounded to two decimal places).