Raymond

Raymond is designing a 1-liter Tetrapak for milk. He knows that the rectangular base must be 50mm by 100mm. Therefore, he needs to make the height of the Tetrapak.

Correct answer:

c =  20 cm

Step-by-step explanation:

$$\begin{gathered} V=1\text{l}\to {\text{cm}}^3=1\cdot 1000{\text{cm}}^3=1000{\text{cm}}^3 \\ a=50\text{mm}\to \text{cm}=50:10\text{cm}=5\text{cm} \\ b=100\text{mm}\to \text{cm}=100:10\text{cm}=10\text{cm} \\ {S}_1=a\cdot b=5\cdot 10=50{\text{cm}}^2 \\ V=S_1\cdot c \\ c=V/S_1=1000/50=20\text{cm} \end{gathered}$$

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