How many cubic yards of dirt need to be excavated for a house that is 35 feet wide, 44 feet long, and 21 inches deep, rounded to the next whole yard?

To determine the volume of dirt that needs to be excavated for the house, the dimensions given need to be converted consistently into cubic yards.

First, calculate the volume in cubic feet. The house dimensions are:

• Width = 35 feet

• Length = 44 feet

• Depth = 21 inches

Since volumes are typically calculated in feet, convert the depth from inches to feet. There are 12 inches in a foot, so 21 inches is converted as follows:

21 inches ÷ 12 = 1.75 feet.

Now, use the formula for volume, which is width × length × depth:

Volume = 35 feet × 44 feet × 1.75 feet.

Calculating this gives:

Volume = 35 × 44 × 1.75 = 2705 cubic feet.

Next, convert cubic feet to cubic yards because there are 27 cubic feet in a cubic yard (3 feet × 3 feet × 3 feet):

Cubic yards = 2705 cubic feet ÷ 27 = approximately 100.19 cubic yards.

Since the question specifies to round to the next whole yard, we round 100.19 cubic yards up to 101 cubic yards. However, since