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A backyard swimming pool holds 185 cubic yards (yd\(^3\)) of water. If the density of water is 1.00 g/cm\(^3\), what is the mass of the water in pounds (lbs)?

Given:
1. 1.0936 yd = 1 m
2. 1 lb = 453.6 g

Answer :

If the density of the water is 1.00 g/cm³, the mass of the water in the pounds is 311733.7 pounds.

The backyard swimming pool can holds the water = 185 yd³

The conversion of the yd³ in to the m³ :

185 yd³ = 185 × ( 0.9144)³ m³

185 yd³ = 141.44 m³

The conversion of the m³ in to the kg :

The 1 = 1000 kg

Which means that :

141.4 m³ = 141.44 × 1000 kg

141.4 m³ = 141440 kg

The conversion of the kg in to the pounds :

1 kilogram = 2.204 pounds

141440 kg = 141440 kg × 2.204 pounds

141440 kg = 311733.7 pounds

The mass of the water in the pounds is 311733.7 pounds.

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