Dimensions 23841

The cube-shaped potato peel waste bin is 80 cm high. How many liters of waste can we put into it if we know that the dimensions of the base are 40 cm and 50 cm, the basket is already full to exactly half its height, and as soon as the waste reaches the limit of 5 cm from the upper edge, we have to empty it.

Correct answer:

x =  70 l

Step-by-step explanation:

$$\begin{gathered} c=80\text{cm} \\ a=40\text{cm} \\ b=50\text{cm} \\ {c}_1=5\text{cm} \\ {c}_2=c/2=80/2=40\text{cm} \\ V=a\cdot b\cdot (c_2-c_1)=40\cdot 50\cdot (40-5)=70000{\text{cm}}^3 \\ x=V\to \text{l}=V:1000\text{l}=70000:1000\text{l}=70\text{l}=70\text{l} \end{gathered}$$

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