Respuesta :

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Answer:

1052 cm³ = 1.052 liters

Step-by-step explanation:

1 liter = 1 dm³

1 dm = 10 cm → 1 dm³ = (10 cm)³ = 1,000 cm³ → 1 liter = 1,000 cm³

Method 1:

Use the proportion:

[tex]\dfrac{1\ liter}{1,000\ cm^3}=\dfrac{x\ liters}{1052\ cm^3}[/tex]      cross multiply

[tex]1,000x=1052[/tex]             dicide both sides by 1,000

[tex]x=1.052[/tex]

Method 2:

[tex]1\ liter=1,000\ cm^3\to1\ cm^3=\dfrac{1}{1,000}\ liters=0.001\ liters[/tex]

Therefore

[tex]1052\ cm^3=1052\cdot0.001\ liters=1.052\ liters[/tex]