Christine, a scheduler at Mangel-Wurzel Transport, gets a call from a regular customer needing to move of rock and soil, which Christine knows from previous experience has an average density of . Christine has available a dump truck with a capacity of and a maximum safe load of . Calculate the number of trips the dump truck will have to make to haul the customer's load away.

Complete Question:

Christine, a scheduler at Mangel-Wurzel Transport, gets a call from a regular customer needing to move 70.3 m³ of rock and soil, which Christine knows from previous experience has an average density of 880 kg/m³. Christine has available a dump truck with a capacity of 9 m³ and a maximum safe load of 5300 kg. Calculate the number of trips the dump truck will have to make to haul the customer's load away?

= 105 trips

Explanation:

a) Data:

Volume of customer's load = 70.3 m³

Average density of load = 880 kg

Truck capacity in volume = 9 m³

Truck's mass = 5,300 kg

Density load of truck = 5,300/9 = 588.89m³

Total density of load = 70.3 m³ * 880 kg/m³ = 61,864m³

Number of trips to be made = Total density/Density capacity of truck

= 61,864m³/588.89m³

= 105 trips

b) Density is the mass of a unit volume of a material substance. Therefore, density = d = M/V, where d is density, M is mass, and V is volume.  Density can also be expressed as kilograms per cubic metre (in MKS or SI units).  

Remember, kilograms = mass and cubic meters = volume.

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