Question
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
Answers
GPT 3.5
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.
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.