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Answer :
Final answer:
To fill the waterbed, approximately 1,045 kilograms of water are needed, which is closest to the provided option. A step-by-step calculation process using the dimensions and density of water was explained to determine the required mass accurately.
Explanation:
The mass of water required to fill the waterbed can be calculated by multiplying its dimensions. First, convert the dimensions to meters (1 ft = 0.3048 m) to get the volume in cubic meters. Then, multiply by the density of water to find the mass in kilograms.
Given dimensions: 8.0 ft x 7.0 ft x 0.75 ft.
Converting to meters: 2.4384 m x 2.1336 m x 0.2286 m.
Calculating the mass: (2.4384 m x 2.1336 m x 0.2286 m) x 1.00 g/cm³ = 1,044.6 kg.
Therefore, the correct answer is 1,045 kg, closest to option d. 672 kg.
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