find the mass of water in a bath tub whose interior is 1.300m long and 0.600m wide and that is filled to height of 0.3000m (hint: the density of water =1000kg/m^3)
Assume the volume or water is a rectangular prism with colume
1.3 x 0.6 x 0.3 cubic meters. That is 0.054 cubic meters
Multiply that volume by the density of water to get the mass of water in the bathtub.
To find the mass of water in the bathtub, we need to calculate its volume first and then use the density of water to find the mass. Here's how you can do it:
Step 1: Calculate the volume of the bathtub.
The volume of the bathtub can be found using the formula: volume = length x width x height.
Given:
Length = 1.300 m
Width = 0.600 m
Height = 0.3000 m
Volume = 1.300 m x 0.600 m x 0.3000 m
Volume = 0.234 m³
Step 2: Use the density of water to find the mass.
Density = Mass / Volume
Rearranging the formula, we can find:
Mass = Density x Volume
Given:
Density of water = 1000 kg/m³
Volume = 0.234 m³ (calculated in Step 1)
Mass = 1000 kg/m³ x 0.234 m³
Mass = 234 kg
Therefore, the mass of the water in the bathtub is 234 kg.