Question

How many liters equal 1052 cm^3

Answer 1

1052 cm³ = 1.052 liters

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:

`(1\ liter)/(1,000\ cm^3)=(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=(1)/(1,000)\ liters=0.001\ liters`

Therefore

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