Waste container eco

The waste box is shaped like a block and has dimensions of 1.8 m, 1.5 m, and 1.2 m. If 0.25 m³ of waste is added to it every day, how many days will it be filled?

Correct answer:

n =  13

Step-by-step explanation:

$$\begin{gathered} a=1.8\text{m} \\ b=1.5\text{m} \\ c=1.2\text{m} \\ {V}_1=0.25{\text{m}}^3 \\ V=a\cdot b\cdot c=1.8\cdot 1.5\cdot 1.2=\frac{81}{25}=3\frac{6}{25}=3.24{\text{m}}^3 \\ {n}_1=V/V_1=3.24/0.25=\frac{324}{25}=12\frac{24}{25}=12.96 \\ n=\lceil n_1\rceil =\lceil 12.96\rceil =13 \end{gathered}$$

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