Final answer:
The mass of water that will fill a tank measuring 100 cm × 50 cm × 30 cm is 150,000 grams, since the density of water is 1 g/cm³.
Step-by-step explanation:
The student is asking for the mass of water that will fill a tank with the given dimensions. To find the mass, first calculate the volume of the tank by multiplying its length (100 cm), width (50 cm), and height (30 cm). The volume is 100 cm × 50 cm × 30 cm = 150,000 cm³. Since the density of water is 1 g/cm³, the mass of the water is equal to the volume of the tank in cubic centimeters. Therefore, the mass of the water that will fill the tank is 150,000 grams. To confirm this, we can compare the density units by noting that 1 g/cm³ is equivalent to 1000 kg/m³, which validates our calculation.