Question

How many liters equal 1052 cm^3

Answer 1

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:

$\dfrac{1\ liter}{1,000\ cm^3}=\dfrac{x\ liters}{1052\ cm^3}$      cross multiply

$1,000x=1052$             dicide both sides by 1,000

$x=1.052$

Method 2:

$1\ liter=1,000\ cm^3\to1\ cm^3=\dfrac{1}{1,000}\ liters=0.001\ liters$

Therefore

$1052\ cm^3=1052\cdot0.001\ liters=1.052\ liters$