Answer:
"12 trips" is the correct answer.
Step-by-step explanation:
Given:
Density,
= 880 kg/m
Volume,
= 70.3 m³
Safe load,
= 5300 kg
Now,
The total mass of dump will be:
=
![Density* Volume](https://img.qammunity.org/2022/formulas/chemistry/college/mp5r8gb0pmajobfvr7xjoluvwgvr5m1m6n.png)
=
![880* 70.3](https://img.qammunity.org/2022/formulas/chemistry/college/prfxz1sn4q9gpq34elbsrhqkamgssrz9h0.png)
=
![61864 \ Kg](https://img.qammunity.org/2022/formulas/chemistry/college/kshuyo0ann35r8kaxjbnd9jg2tc9h9poba.png)
By going through the safe mode, the number of trips will be:
=
![(Total \ mass)/(Safe \ load)](https://img.qammunity.org/2022/formulas/chemistry/college/ljmvty5ovtadx33ldk1dirnotyj3mxm2r6.png)
=
![(61864)/(5300)](https://img.qammunity.org/2022/formulas/chemistry/college/ae4ek7ncjzxtkyfku1jzw5millaen12wfi.png)
=
![11.57 \](https://img.qammunity.org/2022/formulas/chemistry/college/tdpm4xx1uvjzma76ch4s78kfqxxf57jm9f.png)
hence,
By going through the volume, the number of trips will be:
=
![(70.3)/(9)](https://img.qammunity.org/2022/formulas/chemistry/college/2azfd2t3ccqg8zznf674wluq7xdm45t7ua.png)
=
![7.8](https://img.qammunity.org/2022/formulas/chemistry/college/aic8zlk4639pzrpgcvjuclees4ojh54l4h.png)
Thus the truck needs to make 11.57 trips i.e., 12 trips.