Final answer:
The weight of 1.0 cubic foot of water is approximately 62.43 pounds, calculated by converting the volume to cubic meters, multiplying by water's density, and then converting the mass to pounds.
Step-by-step explanation:
The weight of 1.0 cubic foot of water is intimately connected to its density. The density of water is a well-known constant at 1g/cm³, which is the same as 1,000 kg/m³ or approximately 62.43 lbs/ft³. To calculate the weight of a cubic foot of water, you would take the volume of water and multiply it by the density and then convert that mass into weight, considering the gravity on Earth which is 9.81 m/s² (standard gravity).
Considering that 1 cubic foot is equal to approximately 0.0283168 cubic meters, and the density of water is 1,000 kg/m³, a simple multiplication gives us the mass of the water in kilograms. To find the weight in standard pounds, we will use the conversion 1 kg = 2.20462 lbs. Therefore, we take the mass in kilograms and multiply it by this conversion factor.
- Convert cubic foot to cubic meters: 1.0 ft³ * 0.0283168 m³/ft³ = 0.0283168 m³.
- Calculate the mass of the water: 0.0283168 m³ * 1,000 kg/m³ = 28.3168 kg.
- Convert to pounds: 28.3168 kg * 2.20462 lbs/kg ≈ 62.43 lbs.
So, the weight of 1.0 cubic foot of water is approximately 62.43 pounds.