Question

Dirt cut 2 ft deep from a section of land 33 ft by 65 ft is used to fill a section 23 ft by 22ft to a depth of 4 how many cubic yards of dirt are left after the fill

Answer 1

83 25/27 yd³

Explanation:

Assuming a 4 ft depth of fill, the cut volume is ...

(2 ft)(33 ft)(65 ft) = 4290 ft³

The fill volume is ...

(23 ft)(22 ft)(4 ft) = 2024 ft³

The left over dirt occupies a volume of ...

4290 ft³ -2024 ft³ = 2266 ft³ = (2266 ft³)(1 yd³)/(27 ft³) = 83 25/27 yd³