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

Respuesta :

Answer:

  83 25/27 yd³

Step-by-step 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