Deon, a scheduler at Mangel-Wurzel Transport, gets a call from a regular customer needing to move 19.8m^3 of rock and soil, which Deon knows from previous experience has an average density of 650/kgm^3. Deon has available a dump truck with a capacity of 4m^3 and a maximum safe load of 3700kg.

A. Calculate the number of trips the dump truck will have to make to haul the customer's load away?

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Mathematics

13 February, 03:19

Deon, a scheduler at Mangel-Wurzel Transport, gets a call from a regular customer needing to move 19.8m^3 of rock and soil, which Deon knows from previous experience has an average density of 650/kgm^3. Deon has available a dump truck with a capacity of 4m^3 and a maximum safe load of 3700kg.

A. Calculate the number of trips the dump truck will have to make to haul the customer's load away?

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Bobbie · Answer 1

5 trips

Step-by-step explanation:

Note that the weight and volume of the load must not exceed the given maximum.

Volume of load = 19.8m^3

Density of load = 650kg/m^3

Mass of load = 19.8 * 650 = 12,870 kg

Given limits.

Volume = 4m^3

Mass = 3700kg

Assuming the truck is to carry 4m^3 of the load.

The mass of 4m^3 of the load is = 4 * 650 = 2600kg

Mass = 2600kg < 3700kg

Therefore it satisfies both conditions.

The number of trip the truck would make is;

N = total volume of load / volume per trip

N = 19.8/4

N = 4.95

N = 5 trips