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

Question

Mathematics

Peep

22 May, 08:01

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

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Taliyah Espinoza · Answer 1

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