A rectangular container measuring 16cm times 46cm times 67 cm is filled with water what is the mass of this volume of water in kilograms and grams? (take the density of water to be 1000 kg/m cube

One cubic centimeter is one gram of water.

so in grams 16*46*67 = 49,312 grams
which is 49.312 Kg

Now as far as density of water

1000 kg/m^3 * 1000 g/kg * 1 m^3/100^3 cm^3
= 1 g/cm^3 Remember that.

To calculate the mass of water in the given container, we first need to determine the volume of water and then use the density of water to find the mass.

Step 1: Calculate the volume of water
The volume of a rectangular container can be found by multiplying its length, width, and height. In this case, the container measures 16cm x 46cm x 67cm.

Volume = Length x Width x Height = 16cm x 46cm x 67cm
Volume = 49312 cm³

Step 2: Convert the volume to cubic meters
Since the density of water is given in kilograms per cubic meter, we need to convert the volume from cubic centimeters (cm³) to cubic meters (m³). Recall that 1 m³ = 1,000,000 cm³.

Volume (in m³) = Volume (in cm³) / 1,000,000
Volume (in m³) = 49312 cm³ / 1,000,000 = 0.049312 m³

Step 3: Calculate the mass of water
The density of water is given as 1000 kg/m³. We can now multiply the volume of water by the density to get the mass.

Mass = Volume x Density
Mass = 0.049312 m³ x 1000 kg/m³
Mass = 49.312 kg

Step 4: Convert the mass to grams
To convert the mass from kilograms to grams, simply multiply it by 1000 (since there are 1000 grams in a kilogram).

Mass (in grams) = Mass (in kg) x 1000
Mass (in grams) = 49.312 kg x 1000 = 49312 grams

Therefore, the mass of the volume of water in the given container is 49.312 kilograms or 49312 grams.