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]
