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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.

Respuesta :

MrRoyal

Answer:

[tex]Height= 5cm[/tex]

Step-by-step explanation:

Given

Tank:

[tex]Base =20cm\ by\ 17cm[/tex]

[tex]Depth = 28cm[/tex]

Water:

[tex]Quantity = 1\frac{1}{4}L, 350mL, 100mL[/tex]

Required

Determine [tex]the\ height[/tex] of the water in the tank

First, we calculate the total volume of water added.

[tex]Quantity = 1\frac{1}{4}L+ 350mL + 100mL[/tex]

[tex]Quantity = 1.25L+ 350mL + 100mL[/tex]

Convert all units to Litres

[tex]Quantity = 1.25L+ 0.35L + 0.1L[/tex]

[tex]Quantity = 1.7L[/tex]

Convert to cm^3

[tex]Quantity = 1.7 * 1000cm^3[/tex]

[tex]Quantity = 1700cm^3[/tex]

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

[tex]Volume =Base\ Area * Height[/tex]

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

[tex]Volume =20cm * 17cm* Height[/tex]

[tex]Volume =340cm^2* Height[/tex]

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

[tex]1700cm^3=340cm^2* Height[/tex]

Make height the subject

[tex]Height= \frac{1700cm^3}{340cm^2}[/tex]

[tex]Height= \frac{1700cm}{340}[/tex]

[tex]Height= 5cm[/tex]

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