Question

A water container is in the form of a rectangular tank. Its base is 20 cm by 17 cm and depth of the water in the

container is 28 cm. Tony adds one a quarter litres, 350 ml and 100 ml water to the container
Calculate by how many centimeters has the level of water in the tank risen.

Answer 1

`Height= 5cm`

Explanation:

Given

Tank:

`Base =20cm\ by\ 17cm`

`Depth = 28cm`

Water:

`Quantity = 1(1)/(4)L, 350mL, 100mL`

Required

Determine
`the\ height` of the water in the tank

First, we calculate the total volume of water added.

`Quantity = 1(1)/(4)L+ 350mL + 100mL`

`Quantity = 1.25L+ 350mL + 100mL`

Convert all units to Litres

`Quantity = 1.25L+ 0.35L + 0.1L`

`Quantity = 1.7L`

Convert to cm^3

`Quantity = 1.7 * 1000cm^3`

`Quantity = 1700cm^3`

The volume of the water in the tank is calculated as:

`Volume =Base\ Area * Height`

i.e. the base area of the tank multiplied by the height of the water in the tank

`Volume =20cm * 17cm* Height`

`Volume =340cm^2* Height`

Since the above represents the quantity of water, we can substitute 1700cm^3 for Volume

`1700cm^3=340cm^2* Height`

Make height the subject

`Height= (1700cm^3)/(340cm^2)`

`Height= (1700cm)/(340)`

`Height= 5cm`