How deep is the water in a tank 4m long and 3m wide if it's mass is 24000kg
Within the simplicity of the metric system,
24,000 kg of water
= 24,000 L of water
= 24,000,000 cm^3
3 m = 300 cm and 4 m = 400 cm
so 400(300)height = 24,000,000
h = 2400/12 = 200 cm or 2 metres
check:
volume of the box = 4(3)(2) m^3 = 24 m^3
and since 1 m^3 = 1,000,000 cm^3
we have 24,000,000 cm^3 = 24,000 litres of water which have a mass of
24,000 kg
well,it is about 1,000 kg / m^3
so 24 m^3
4*3*x = 24
x = 2 meters deep
To determine the depth of the water in the tank, we need to use the concept of density and volume.
Step 1: Find the volume of the water.
The mass of the water is given as 24000 kg. The formula to calculate volume is:
Volume = Mass / Density
However, we need to know the density of the water in order to proceed. The density of water is approximately 1000 kg/m³.
Step 2: Calculate the volume of water in the tank.
Volume of Water = Mass of Water / Density of Water
= 24000 kg / 1000 kg/m³
= 24 m³
Step 3: Determine the depth of the water.
The tank has dimensions of 4 m in length and 3 m in width, so its area is:
Area of Tank = Length x Width
= 4 m x 3 m
= 12 m²
We can use this area to determine the depth of the water:
Depth of Water = Volume of Water / Area of Tank
= 24 m³ / 12 m²
= 2 m
Therefore, the depth of the water in the tank is 2 meters.
To find the depth of water in the tank, we need to understand the concept of density and the formula to calculate it. Density is a measure of mass per unit volume, which can be represented as:
Density = Mass / Volume
In this case, we know the mass of the water in the tank is 24000 kg. To find the volume, we can use the formula:
Volume = Length × Width × Depth
Given that the length is 4 m and the width is 3 m, we can rearrange the formula to solve for the depth:
Depth = Volume / (Length × Width)
Substituting the known values, we get:
Depth = 24000 kg / (4 m × 3 m)
Simplifying the expression:
Depth = 24000 kg / 12 m²
Depth = 2000 kg/m²
Therefore, the depth of the water in the tank is 2000 kg/m².