Question

1. This titanium cube has a mass of 1 pound. Calculate the length of a side of the cube in inches. (Hint!: 2.54 cm-1 in and 1 ounce- 28.3495 grams!). TITANIUM Ti 4787

Answer 1

Mass of the cube is 1 pound Mass conversion: 1 pound times 16 ounce/1 pound times 28.3495 g./1 ounce = 453.592 g Density of Ti is 4.54 g/cm^3. Volume of the cube is calculated as follows: Volume = Mass/Density = 453.592 g/4.54 g/cm^3 Volume = 99.91 cm^3 Let the side of the cube is a. Expression for volume (V) of cube is, V = a^3 a = V^v3 = (99.91 cm^3)^1/3 a = 4.64 cm times 1 in/2.54 cm a = 1.83 in Thus, the length of a side of the cube is 1.83 in