Question

3 item 8 question 1 a pool in the shape of a rectangular prism is 6 meters long and 3 meters wide. the water in the pool is 1 meter deep.
a. the density of water is about 1 gram per cubic centimeter. find the number of kilograms of water in the pool. there are about 320.796 kilograms of water in the pool. question 2
b. you add 6000 kilograms of water to the pool. what is the depth of the water in the pool? write your answer as a fraction. the water is about meters deep.

Answer 1

Part a)

The shape of the pool is rectangular prism, so the volume of the pool will be:

Volume = Length x Width x Depth

Volume = 6 x 3 x 1 = 18 cubic meters

Density of water = 1 gram per cubic centimeter
Density of water = 1,000,000 gram per cubic meter
Density of water = 1000 kilogram per cubic meter

Mass, volume and density are related by the following equation:

Mass = Density x Volume

Using the values, we can write:

Mass of water in pool = 1000 x 18 =18,000 kilogram

Part b)

Mass of water added to pool = 6000 kilograms
Density of water = 1000 kilogram per cubic meter

Volume = Mass/Density

Volume of water in the pool = 6 cubic meter

Since Volume = Length x Width x Depth

6 = 6 x 3 x Depth

⇒ Depth = 1/3 meters