Concrete box

The concrete box with walls thick 7 cm has the following external dimensions: length 1.8 m, width 44 cm and height 46 cm. How many liters of soil can fit if I fill it to the brim?

Correct answer:

x =  194.2 l

Step-by-step explanation:

a=1.8 \ \text{m} \rightarrow \ \text{dm}=1.8 \cdot \ 10 \ \ \text{dm}=18 \ \text{dm} \ \\ b=44 \ \text{cm} \rightarrow \ \text{dm}=44 : 10 \ \ \text{dm}=4.4 \ \text{dm} \ \\ c=46 \ \text{cm} \rightarrow \ \text{dm}=46 : 10 \ \ \text{dm}=4.6 \ \text{dm} \ \\ h=7 \ \text{cm} \rightarrow \ \text{dm}=7 : 10 \ \ \text{dm}=0.7 \ \text{dm} \ \\ \ \\ 1 \ dm^3=1 \ l \ \\ x=#l#a = m2dm(1.8) \ \\ b = cm2dm(44) \ \\ c = cm2dm(46) \ \\ h = cm2dm(7) \ \\ \ \\ @ 1 dm^3 = 1 l \ \\ x = (a-2*h)*(b-2*h)*(c-h)x=(a-2 \cdot \ h) \cdot \ (b-2 \cdot \ h) \cdot \ (c-h)=(18-2 \cdot \ 0.7) \cdot \ (4.4-2 \cdot \ 0.7) \cdot \ (4.6-0.7)=194.2 \ \text{l}



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