Quadrilateral 73034

Calculate the volume of the flowerpot in the shape of a quadrilateral prism and how many 20 l packages of soil need to be bought to fill it: dimensions: a = 30cm, height b = 40cm, length c = 120cm.

Correct answer:

V =  144 l
n =  8

Step-by-step explanation:

$$\begin{gathered} a=30\text{cm} \\ b=40\text{cm} \\ c=120\text{cm} \\ {V}_1=a\cdot b\cdot c=30\cdot 40\cdot 120=144000{\text{cm}}^3 \\ V=V_1\to \text{l}=V_1:1000\text{l}=144000:1000\text{l}=144\text{l}=144\text{l} \end{gathered}$$

$$\begin{gathered} V_2=20\text{l} \\ {n}_2=V/V_2=144/20=\frac{36}{5}=7\frac{1}{5}=7.2 \\ n=\lceil n_2\rceil =\lceil 7.2\rceil =8 \end{gathered}$$

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