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A building contractor is to dig a foundation 12 feet long, 9 feet wide, and 6 feet deep for a toll booth. The contractor pays $180 per load for trucks to remove the dirt. Each truck holds 6 cubic yards. What is the cost to the contractor to have all the dirt hauled away?

Respuesta :

The cost for the contractor to have all the dirt hauled away for a foundation of 12 feet long, 9 feet wide and 6 feet deep is $720

Volume of rectangular prism

volume of a rectangular prism = lwh

where

  • l = length
  • w = width
  • h = height

Therefore,

l = 12 ft

w = 9 ft

h = 6 ft

volume of the foundation = 12 × 9 × 6

volume of the foundation = 648 ft³

Therefore, the contractor pays $180 per load for the trucks remove the dirt.

648 cubic feet = 24 cubic yard

6 cubic yards = 1 truck load

24 cubic yard =

cross multiply

number of truck load = 24 / 6 = 4 truck loads

Hence,

1 truck load = $180

4 truck load =?

cross multiply

cost = 4 × 180 = $720

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