Question

What mass of water in grams will fill a tank 100 cm long, 50 cm wide, and 30 cm high

Answer 1

Answer: 150000 g

Step-by-step explanation:

Firstly, we need to calculate the volume of the tank
`V_(tank)`:

`V_(tank)=(length)(width)(height)`

`V_(tank)=(100 cm)(50 cm)(30 cm)=150000 cm^(3)` (1)

Now,
`V_(tank)` is the volume that has to be filled with water, this means the volume water occupies in the tank
`V_(water)` must be equal to the volume of the tank:

`V_(water)=V_(tank)=150000 cm^(3)` (2)

On the other hand, the density of water
`\rho_(water)` is
`1 g/cm^(3)` and establishes the relation between its mass
`m_(water)` and its volume
`V_(water)`:

`\rho_(water)=(m_(water))/(V_(water))` (3)

Clearing
`m_(water)`:

`m_(water)=\rho_(water) V_(water)` (4)

`m_(water)=(1 g/cm^(3))(150000 cm^(3))` (5)

Finally:

`m_(water)=150000 g`