A die is created by smoothing the corners of a plastic cube and carving indented pips. The original cube had an edge length of 2 centimeters (cm). The volume of the final die is 7.5cm3. What is the volume of the waste generated by creating the die from the cube in cm3 ?
Q. A die is created by smoothing the corners of a plastic cube and carving indented pips. The original cube had an edge length of 2 centimeters (cm). The volume of the final die is 7.5cm3. What is the volume of the waste generated by creating the die from the cube in cm3 ?
Calculate volume of original cube: The volume of a cube is given by the formula V=s3, where s is the length of a side of the cube.Vcube=2cm×2cm×2cm=8cm3
Determine volume of final die: The volume of the final die is given as 7.5cm3.
Calculate volume of waste material: The volume of the waste is the difference between the volume of the original cube and the volume of the final die.Volumewaste=Vcube−VdieVolumewaste=8cm3−7.5cm3=0.5cm3