Question

A die is created by smoothing the corners of a plastic cube and carving indented pips. The original cube had an edge length of 22 centimeters (\text{cm})(cm). The volume of the final die is 7.5\,\text{cm}^37.5cm 3 . What is the volume of the waste generated by creating the die from the cube in \text{cm}^3cm 3

Answer 1

Answer: 0.5 $cm^3$

Step-by-step explanation:

Here, die is created by smoothing the corners of a plastic cube and carving indented pips.

The original cube had an edge length of 2 cm

Thus, the volume of original cube = 8 $cm^3$

Again according to the question, The volume of the final die is 7.5 $cm^3$

Therefore, volume of the waste generated by creating the die from the cube = the volume of original cube - The volume of the final die  

V= 8-7.5 = 0.5 $cm^3$