Capacity of the box

The box is 55 cm high and 40 cm wide. The capacity of the box is 180 liters. How much does the box length measure? And what is the capacity of the box in cubic centimeters?

Final Answer:

a =  81.8182 cm
V =  180000 cm³

Step-by-step explanation:

$$\begin{gathered} b=55\text{cm} \\ c=40\text{cm} \\ V=180\text{l}\to {\text{cm}}^3=180\cdot 1000{\text{cm}}^3=180000{\text{cm}}^3 \\ V=abc \\ a=\frac{V}{b\cdot c}=\frac{180000}{55\cdot 40}=81.8182\text{cm} \end{gathered}$$

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