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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