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?
Answer:
= 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.
