A rectangular tank 60 cm long and 50 cm wide is /5 full of water. When 24 liters of water are added, the water level rises to the brim of th

A rectangular tank 60 cm long and 50 cm wide is /5 full of water. When 24 liters of water are added, the water level rises to the brim of the tank. Find the height of the tank. (1 liter is 1000cm3 )

0 thoughts on “A rectangular tank 60 cm long and 50 cm wide is /5 full of water. When 24 liters of water are added, the water level rises to the brim of th”

  1. Answer:

    The tank is 10cm high

    Step-by-step explanation:

    Given

    [tex]L=60cm[/tex] — length

    [tex]W=60cm[/tex] — width

    [tex]x = \frac{1}{5}[/tex] — water lever

    [tex]Addition = 24L[/tex]

    Required

    The height of the tank

    Let y represents the remaining fraction before water is added.

    So:

    [tex]y + x = 1[/tex]

    Make y the subject

    [tex]y = 1 – x[/tex]

    [tex]y = 1 – \frac{1}{5}[/tex]

    Solve

    [tex]y = \frac{5 – 1}{5}[/tex]

    [tex]y = \frac{4}{5}[/tex]

    Represent the volume of the tank with v

    So:

    [tex]y * v = 24L[/tex]

    Make v the subject

    [tex]v = \frac{24L}{y}[/tex]

    Substitute: [tex]y = \frac{4}{5}[/tex]

    [tex]v = \frac{24L}{4/5}[/tex]

    [tex]v = 30L[/tex]

    Represent the height of the tank with h;

    So, the volume of the tank is:

    [tex]v = lwh[/tex]

    Make h the subject

    [tex]h = \frac{v}{lw}[/tex]

    Substitute values for v, l and w

    [tex]h = \frac{30L}{60cm * 50cm}[/tex]

    Convert 30L to cm^3

    [tex]h = \frac{30*1000cm^3}{60cm * 50cm}[/tex]

    [tex]h = \frac{30000cm^3}{3000cm^2}[/tex]

    [tex]h = 10cm[/tex]

    Reply

Leave a Comment