152k views
2 votes
The density of water is 1000 kg m^3. What is the value expressed in gcm^-3 units? please help me..

(1) 1000 (2) 100 (3) 1 (4) 0.1 (5) 0.01​

2 Answers

6 votes
The answer is 1 which is option 3
User Thom Ives
by
5.5k points
5 votes

Here's the neat, cool way to convert units like this:

-- 1 kilogram = 1,000 grams

-- 1 meter = 100 centimeters

So . . . . .

(1000 kg/m³) x (1000 g/kg) x (1 m/100 cm)³ =

(1,000 kg/m³) x (1,000 g/kg) x (1 m³/1,000,000 cm³) =

(1,000 x 1,000 x 1 / 1,000,000) (kg-g-m³ / m³-kg-cm³) = 1 g/cm³

User Pasi Heikkinen
by
6.0k points