A rectangular container measuring 28 cm 43 cm 58 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/m3.)
kg
g
V = 28*43*58 = 69,832 cm^3=.069832 m^3.
Mass=0.069832m*3 * 1000kg/m^3=69.832 kg. = 69832 g.
A container measuring 5 m by 4 m by 3 m is completely filled with petrol.
What is the volume of petrol in the container?
To find the mass of the water in the container, we first need to calculate the volume of water it holds. The volume of a rectangular container can be found by multiplying its length, width, and height.
Given:
Length = 28 cm
Width = 43 cm
Height = 58 cm
Volume of water = Length × Width × Height
Substituting the given values:
Volume of water = 28 cm × 43 cm × 58 cm
To convert the volume from cm³ to m³, we need to divide by 1,000,000 (since there are 1,000,000 cm³ in 1 m³):
Volume of water in m³ = (28 cm × 43 cm × 58 cm) / 1,000,000
Next, we need to use the density of water (1000 kg/m³) to find the mass of the water. The formula to calculate the mass is:
Mass = Density × Volume
Substituting the values:
Mass = 1000 kg/m³ × (28 cm × 43 cm × 58 cm) / 1,000,000 m³
To convert the result from kilograms to grams, we can multiply by 1000 since there are 1000 grams in 1 kilogram:
Mass in grams = Mass in kilograms × 1000
So, the mass of the water in the given container is given by:
Mass = 1000 kg/m³ × (28 cm × 43 cm × 58 cm) / 1,000,000 m³ × 1000
Now you can calculate the mass of the water using the given formula.