Answer:
1920 gallons of water
Step-by-step explanation:
From the question; the amount of water is proportional to volume of the tank
i.e amount of water = volume of the tank
in a tropical fish;
3000 gallons of water = 12.5 m³ ----- Equation (1)
However, in the measurement of shark tank, we have
length = 20cm = 0.2 meters
width = 4 meters
Height = 10 meters
How many gallons of water can the shark tank hold?
From the measurement of shark tank, we can calculate the volume;
The volume of the tank = Length × width × height
Volume of the tank = 0.2 × 4 × 10 = 8 m³
since, the amount of water is proportional to volume of the tank
y ( Gallons of water ) = 8 m³ -------- Equation (2)
Equating equation 1 and 2; we have:
3000 gallons of water = 12.5 m³
y ( Gallons of water ) = 8 m³
y ( Gallons of water ) × 12.5 m³ = 3000 gallons of water × 8 m³
y ( Gallons of water ) = [tex]\frac{3000 gallons of water * 8 m^3 }{12.5m^3}[/tex]
y ( Gallons of water ) = [tex]\frac{24000}{12.5}[/tex]
y ( Gallons of water ) = 1920 gallons of water
Thus, the shark tank can hold 1920 gallons of water
