Calculate the mass in kg,of a rectangular sheet of metal 15.7cm long and 12.9cm wide,if it's mass is 38.1g.per cm2
To calculate the mass of the rectangular sheet of metal, we first need to calculate its area.
The area of a rectangle is given by the formula: A = length * width.
Given that the length of the rectangular sheet is 15.7 cm and the width is 12.9 cm, we can calculate the area:
A = 15.7 cm * 12.9 cm = 202.53 cm²
We are given that the mass of the metal is 38.1 g per cm².
So, the total mass of the rectangular sheet of metal is:
mass = area * mass per cm² = 202.53 cm² * 38.1 g/cm² = 7717.773 g
To convert the mass from grams to kilograms, we need to divide it by 1000:
mass = 7717.773 g / 1000 = 7.717773 kg
Therefore, the mass of the rectangular sheet of metal is approximately 7.717773 kg.
To calculate the mass of the rectangular sheet of metal, we can use the formula:
Mass = Density x Area
First, we need to calculate the area of the rectangular sheet. The area of a rectangle is given by the formula:
Area = Length x Width
Given:
Length = 15.7 cm
Width = 12.9 cm
So, the area of the rectangular sheet is:
Area = 15.7 cm x 12.9 cm
= 202.53 cm²
Now, we can calculate the mass using the given density:
Density = 38.1 g/cm²
Mass = Density x Area
= 38.1 g/cm² x 202.53 cm²
= 7723.4133 g
Finally, we convert the mass from grams to kilograms:
Mass = 7723.4133 g ÷ 1000
= 7.7234133 kg
Therefore, the mass of the rectangular sheet of metal is approximately 7.72 kg.
To calculate the mass of the rectangular sheet of metal, we need to use the formula:
Mass = Area × Mass per unit area
First, we need to find the area of the rectangular sheet. The formula for the area of a rectangle is:
Area = Length × Width
Given:
Length = 15.7 cm
Width = 12.9 cm
Plugging these values into the formula, we get:
Area = 15.7 cm × 12.9 cm
Now, we need to convert the area from square centimeters to square meters, as the mass per unit area is given in grams per square meter (g/m^2). There are 10,000 square centimeters in a square meter, so we divide the area by 10,000:
Area (in square meters) = (15.7 cm × 12.9 cm) / 10,000
We can now calculate the area in square meters.
Now, we have:
Area (in square meters) = 0.020193 square meters
Next, we multiply the area by the mass per unit area to find the mass:
Mass = Area (in square meters) × Mass per unit area
Given:
Mass per unit area = 38.1 g/cm^2
To convert the mass per unit area from grams per square centimeter (g/cm^2) to kilograms per square meter (kg/m^2), we divide by 10,000:
Mass per unit area (in kg/m^2) = 38.1 g/cm^2 / 10,000
Now, we can calculate the mass:
Mass = 0.020193 square meters × (38.1 g/cm^2 / 10,000)
Finally, we need to convert the mass from grams to kilograms by dividing by 1,000:
Mass (in kg) = (0.020193 square meters × (38.1 g/cm^2 / 10,000)) / 1,000
Calculating this expression will give us the mass of the rectangular sheet of metal in kilograms.