Question

Your friend Pat bought a fish tank that has a volume of 175 liters. The brochure for Pat's tank lists a "fun fact that it would take 7.43 x 1018 tanks of that sizeto fill all the oceans in the world. Pat thinks the both of you can quickly calculate the volume of all the oceans in the world using the fun fact and the size ofher tankPart a.) Given that 1 liter = 1.0 x 10-12 cubic kilometers, rewrite the size of the tank in cubic kilometers using scientific notation.b) Determine the volume of all the oceans in the world in cubic kilometers using the "fun fact"

Answer 1

The tank has a volume of 175 liters

Fun fact: it would take 7.43*10¹⁸ tanks that size to fill all the oceans in the world.

a) Using the convertion 1 liter = 1.0*10⁻¹²km³ you have to rewrite the size of the tank.

For this you have to use cross multiplication:

1 Lts = 1.0*10⁻¹²

175Lts=x

`x=175\cdot1.0\cdot10^(-12)=1.75\cdot10^(-10)`

The volume of the tank is equal to 1.75*10⁻¹⁰ km³

b)

You know that one tank has a volume of 1.75*10⁻¹⁰ km³

To know what volume would 7.43*10¹⁸ tanks of the same size have, multiply the volume of one tank by the number of tanks.

Using the fun fact, the determined volume of all oceans in the world is 1300250000km³