Measuring 36483

Dominik teaches his kitten to go to the cat toilet for litter. He needs to fill the toilet halfway, but he needs to know how many bales of litter to buy. Please advise him if you know that the toilet has a bottom measuring 0.43 m and 3.5 dm and is 11 cm deep. One package of litter has a volume of 3.5 liters.

Correct answer:

x =  3

Step-by-step explanation:

$$\begin{gathered} a=0.43\text{m}\to \text{dm}=0.43\cdot 10\text{dm}=4.3\text{dm} \\ b=3.5\text{dm} \\ c=11\text{cm}\to \text{dm}=11:10\text{dm}=1.1\text{dm} \\ V=\frac{1}{2}\cdot a\cdot b\cdot c=\frac{1}{2}\cdot 4.3\cdot 3.5\cdot 1.1=\frac{3311}{400}=8\frac{111}{400}=8.2775{\text{dm}}^3 \\ {V}_2=V\to \text{l}=V\cdot 1\text{l}=8.2775\cdot 1\text{l}=8.2775\text{l} \\ B=3.5\text{l} \\ x=\lceil V_2/B\rceil =\lceil 8.2775/3.5\rceil =3 \end{gathered}$$

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