What mass of water will fill a tank that is 100.0 cm long, 50.0 cm wide, and 30.0 cm high? Express the answer in grams.
Answer (2)
c a l c u l a t e ma ss f ro m f or m u l a f or d e n s i t y : d e n s i t y = v o l u m e ∗ ma ss ma ss = v o l u m e d e n s i t y v o l u m e = w i d t h ∗ l e n g t h ∗ h e i g h t v o l u m e = 100 ∗ 50 ∗ 30 = 150000 c m 3 = 0 , 15 m 3 d e n s i t y o f w a t er = 999.9720 m 3 k g ma ss = 0 , 15 ∗ 999.9720 = 149 , 9958 k g = 149995 , 8 g r am s A n s w er i s : w a t er w hi c h w e i g h t i s e q u a l t o 149995 , 8 g r am s .
The mass of water that will fill the tank is 150,000 grams. This is calculated by finding the volume of the tank (150,000 cm³) and using the density of water (1 g/cm³) to determine the mass. Therefore, the total mass is equal to the volume times the density of water.
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