the density of water is 62.4 lbs/ft^3.what mass of water in kg will a rectangular hold if it measures 2.00 ft by 3.00 ft by 6.00 inches?
volume of the rectangular WHAT is
2.00ft x 3.00 ft x 0.5ft = ?ft^3.
mass = volume x density
mass = ?ft^3 x 62.4lb/ft^3 = x lbs
Now convert x lbs to grams and to kg.
Post your work if you get stuck.
To find the mass of water in kilograms that the rectangular container can hold, we need to convert the given dimensions to metric units and use the density of water to calculate the mass.
To convert the measurements to metric units:
1. Convert the length from feet (ft) to meters (m):
- 1 ft = 0.3048 m
- Length in meters: 2.00 ft * 0.3048 m/ft = 0.6096 m
2. Convert the width from feet (ft) to meters (m):
- Width in meters: 3.00 ft * 0.3048 m/ft = 0.9144 m
3. Convert the height from inches (in) to meters (m):
- 1 in = 0.0254 m
- Height in meters: 6.00 in * 0.0254 m/in = 0.1524 m
Now, calculate the volume of the rectangular container in cubic meters:
Volume (V) = Length (L) * Width (W) * Height (H)
V = 0.6096 m * 0.9144 m * 0.1524 m
Next, we multiply the volume by the density of water to obtain the mass of water:
Mass (m) = Volume (V) * Density of water
Density of water = 62.4 lbs/ft³
To convert lbs/ft³ to kg/m³, we multiply by the conversion factor:
1 lb/ft³ = 16.0184634 kg/m³
Plugging in the values:
Density of water = 62.4 lbs/ft³ * 16.0184634 kg/m³
Finally, we calculate the mass of water:
m = V * (62.4 lbs/ft³ * 16.0184634 kg/m³)
Substituting the value of V, we get:
m = (0.6096 m * 0.9144 m * 0.1524 m) * (62.4 lbs/ft³ * 16.0184634 kg/m³)
Calculating this expression will give us the mass of water in kilograms that the rectangular container can hold.