Question

A building contractor is to dig a foundation 30 feet long, 15 feet wide, and 3 feet deep. The contractor pays $20 per load for trucks to remove the dirt. Each truck holds5 cubic yards. What is the cost to the contractor to have all the dirt hauled away?The cost to the contractor is 5

Answer 1

The dimensions of the foundation given are in feet

1yard = 3feet

To convert from feet to yard, we divide by 3

length = 30 feet = 30/3 = 10 yards

width/breadth = 15 feet = 15/3 = 5 yards

height/depth = 3 feet = 3/3 = 1 yard

The volume of the foundation is given by;

V = l x b x h

V = 10 x 5 x 1

V = 50 cubic yards

1 truck = 5 cubic yards

Therefore, to carry 50cubic yards of dirts,

50/5 trucks is needed = 10 trucks

The cost of 1 truck = $20

Hence, the contractor will pay $20 x 10 for the 10trucks = $200

Therefore, the cost the contractor pays to have all the dirt hauled away is $200.