Question

What mass of water in grams will fill a tank 100 cm long, 50 cm wide, and 30 cm high?

a) D = 150,000 g, M = 150,000 g, V = 150,000 cm^3
b) D = 1,500 g, M = 1,500 g, V = 1,500 cm^3
c) D = 15,000 g, M = 15,000 g, V = 15,000 cm^3
d) D = 150 g, M = 150 g, V = 150 cm^3

Answer 1

To find the mass of water that will fill the tank, calculate the volume of the tank (150,000 cm³) and multiply it by the density of water (1 g/cm³) to get the mass, which is 150,000 g.

Step-by-step explanation:

To calculate the mass of water that will fill a tank with dimensions of 100 cm in length, 50 cm in width, and 30 cm in height, you need to find the volume of the tank and then use the density of water to find the mass.

First, calculate the volume (V) of the tank by multiplying its length (L), width (W), and height (H):

1. V = L × W × H
2. V = 100 cm × 50 cm × 30 cm
3. V = 150,000 cm³

The density (D) of water is 1 g/cm³, which means that 1 cm³ of water has a mass of 1 gram.

Next, calculate the mass (M) of the water that the tank can hold:

1. M = D × V
2. M = 1 g/cm³ × 150,000 cm³
3. M = 150,000 g

Therefore, the correct answer is:

a) D = 150,000 g, M = 150,000 g, V = 150,000 cm³