In: Chemistry
The density of balsa wood is 18.9 pounds per cubic ft. What is the weight, in kg, of a piece of balsa wood 2.0 inches by 4.0 inches by 10.0 inches?
Question: The density of balsa wood is 18.9 pounds per cubic ft. What is the weight, in kg, of a piece of balsa wood 2.0 inches by 4.0 inches by 10.0 inches?
Ans: Density = Weight/ Volume = Weight (in pounds)/Volume (cubic ft)
To calculate the volume of a given item in cubic feet, measure the length, width and height in feet and multiply the results together.
Balsa wood Cubic ft = length * height * width
Balsa wood volume = 2.0 inches by 4.0 inches by 10.0 inches
We have to convert these length, height and width into ft
1 inch = 0.0833333 ft
So 2.0 inches = 0.166667,
4.0 inches = 0.333333
10.0 inches = 0.833333
Balsa wood Cubic ft = length * height * width
Balsa wood Cubic ft = 0.166667 * 0.333333 * 0.833333
Balsa wood Cubic ft = 0.046296 ft3
Density = Weight/ Volume = Weight (in pounds)/Volume (cubic ft)
18.9 = weight / 0.046296
Weight = 18.9 * 0.046296
Weight = 0.87499 pounds
1 pound = 0.453592 kg
So weight = 0.396888 kg