Question

A building contractor is to dig a foundation 45 feet long, 16 feet wide and 6 feet deep. The contractor pays 13 dollars per load for trucks to remove the dirt. Each truckload holds 4 cubic yards. How many cubic yards must be hauled away?

Answer 1

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Answer:

• 160 yd³ must be hauled
• $520 is the cost

Explanation:

There are 3 feet in a yard, so the volume of the hole is ...

(45 ft)/(3 ft/yd) × (16 ft)/(3 ft/yd) × (6 ft)/(3 ft/yd)

= (15 × 16/3 × 2) yd³ = 160 yd³ . . . volume to be hauled

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The cost is $13/(4 yd³), so the total cost will be ...

($13/(4 yd³)) × 160 yd³ = $520 . . . cost of hauling