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?

Answer 1

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