A tank in the form of a right rectangular prism (see figure below) has dimensions 1m x 2m x 3m. If the tank is filled with water, what is the mass of the water (in kg)? Write your answer with no comma and unit. (1 cm3 = 1 gram).
Volume of rectangular prism = weight x length x height (V = W x L x H): 6 m3
Mass = Density x Volume (density of water = 1,000kg/m3)
Mass = 1,000kg/m3 x 6m3 = 6000kg
ANS: 6000
looks good
To find the mass of the water in the tank, we need to determine the volume of the tank and then convert it to mass using the given conversion factor.
The volume of a rectangular prism is found by multiplying its length, width, and height. In this case, the tank's dimensions are given as 1m x 2m x 3m, so its volume can be calculated as:
Volume = Length x Width x Height
Volume = 1m x 2m x 3m
Volume = 6 cubic meters (m^3)
Now, we need to convert the volume from cubic meters to cubic centimeters (cm^3) since the given conversion factor is in grams per cubic centimeter (g/cm^3).
To convert from cubic meters to cubic centimeters, we can use the following conversion factor:
1 cubic meter = 1,000,000 cubic centimeters
So, the volume of the tank in cubic centimeters is:
Volume (in cm^3) = Volume (in m^3) x 1,000,000
Volume (in cm^3) = 6 m^3 x 1,000,000
Volume (in cm^3) = 6,000,000 cm^3
Now, since 1 cm^3 of water has a mass of 1 gram, the mass of the water in the tank is the same as its volume in cm^3.
Therefore, the mass of the water in the tank is 6,000,000 grams or 6,000 kilograms (kg).
Answer: 6000kg