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9-6 A rectangular fish aquarium filled with fresh water has more mass than the s

ID: 1780872 • Letter: 9

Question

9-6 A rectangular fish aquarium filled with fresh water has more mass than the same aquarium filled with gin. Besides, most fish do poorly in gin. Given: The inside dimensions of the aquarium are 70,cm by 35 cm by 40cm. Fresh water has a weight density of 1.00 × 103 kg/m3 while gin has a density of 0.91 × 103 kg/m3. A liter is 1,000 cm 3. (a) What is the volume of the aquarium in liters? (b) What is the mass of the aquarium filled with fresh water? (c) What is the mass of the aquarium filled with gin? Find:

Explanation / Answer

(a) Volume of aquarium V = 70×35×40 = 98000 cc = 98 ltrs

(b) mass of aquarium with water m = volume × density

= 98 × 10-3 × 103 = 98 kg.

(c) mass of aquarium with gin = 98 × 10-3 × 0.91 × 103

= 89.18 kg.