How many cubic yards will be excavated for a basement measuring 30' x 30' x 7' deep, allowing for an additional 3 feet in each direction?

To determine the amount of cubic yards that will be excavated for the basement, you first need to calculate the total volume considering the dimensions provided.

The basement has a footprint of 30 feet by 30 feet and a depth of 7 feet. However, an additional 3 feet is needed in each direction for the excavation. This means we should add 6 feet to each dimension (3 feet for each side).

Therefore, the new dimensions of the area being excavated are:

• Length: 30 feet + 6 feet = 36 feet

• Width: 30 feet + 6 feet = 36 feet

• Depth: 7 feet

Now, calculate the volume in cubic feet:

Volume = Length × Width × Depth

Volume = 36 feet × 36 feet × 7 feet

Volume = 9,072 cubic feet

Next, convert the volume from cubic feet to cubic yards. Since there are 27 cubic feet in a cubic yard, the conversion is done by dividing the total cubic feet by 27:

Cubic yards = 9,072 cubic feet ÷ 27 = 336 cubic yards (approximately)

The calculated volume of approximately 336 cubic yards falls within the range specified in the