Sand

The maximum weight of the car is 5000 kg. 10 m3 of sand must be transferred. How many times does a car have to go? (density of sand is 1500 kg/m3)

Result

n =  3

Solution:

m1=5000 kg V=10 m3 h=1500 kg/m3  m2=V h=10 1500=15000 kg  n=m2/m1=15000/5000=3m_{1}=5000 \ \text{kg} \ \\ V=10 \ \text{m}^3 \ \\ h=1500 \ \text{kg/m}_{3} \ \\ \ \\ m_{2}=V \cdot \ h=10 \cdot \ 1500=15000 \ \text{kg} \ \\ \ \\ n=\lceil m_{2}/m_{1} \rceil=\lceil 15000/5000 \rceil=3



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