Question

The amount of water inside each of these things is proportional to the volume of the tank the tropical fish tank has a volume of 12.5 m³ and hold 3000 gallons of water. The measurements for the shark tanks is...Length-20 cm, Width- 4 meters, & Height-10 meters. How many gallons of water can the shark tank hold?

Answer 1

Explanation:

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Answer 2

1920 gallons of water

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 ) =
`(3000 gallons of water * 8 m^3 )/(12.5m^3)`

y ( Gallons of water ) =
`(24000)/(12.5)`

y ( Gallons of water ) = 1920 gallons of water

Thus, the shark tank can hold 1920 gallons of water