Answer:
112.49 cubic feet
Step-by-step explanation:
We are given that a trench in roughly the shape of a rectangular solid measuring 150 ft. in length, 9 inches deep along both sides, and 12 inches wide at the top and bottom.
We are supposed to find How many cubic feet of earth did he remove (to the nearest tenth)
So, Volume of Trench = Volume of Earth removed
Trench is in shape of rectangular solid.
Length = 150 feet
Height = 9 inches = [tex]9 \times 0.0833333[/tex]=0.7499997 feet
Width = 12 inches= [tex]12 \times 0.0833333[/tex]=0.9999996 feet
Volume of trench = [tex]Length \times width \times height[/tex]
= [tex]150 \times 0.7499997 \times 0.9999996[/tex]
= [tex]112.49991[/tex]
Hence he removed 112.49 cubic feet of earth.
