An excavator is preparing to dig a basement for a new house. Part of his contract reads that he must dispose of all the dirt he removes while digging the basement in an EPA approved landfill. He will dig a hole that is 40 feet wide by 50 feet long and 7.5 feet deep. He first uses his shovel and scoops up 1.00 kg of dirt, and then determines that the dirt as a volume of 600 cm³. The excavator knows that his dump truck can only carry 8,000 kg of dirt. How many dump-truck loads will it take to haul the dirt away

Question

Quizplus · Accepted Answer

The volume of the hole is 40 ft x 50 ft x 7.5 ft = 15,000 ft³. Converting to m³, we get 15,000 ft³ x (0.3048 m/ft)³ = 424.8 m³. The mass of the dirt is 424.8 m³ x (1000 kg/m³) = 424,800 kg. The number of dump-truck loads is 424,800 kg / 8,000 kg/load = 53.1 loads. Rounding up to the nearest whole number, we get 54 loads.

An Excavator Is Preparing to Dig a Basement for a New