Show how to slice a cylindrical piece of cheese into eight congruent pieces with three slices.

easy. slice down the middle of cylinder. Now place the two cylinders side by side so the knife penetrates and slices both cylinders.

slice the two in half. You have four pieces. Line them up again. slice in half, you have 8 in three slices.

To slice a cylindrical piece of cheese into eight congruent pieces using only three slices, you can follow these steps:

Step 1: Place the cylindrical cheese on a cutting board or any flat surface.

Step 2: Start by making the first slice parallel to the base of the cylinder, cutting it into two equal halves. This will give you two congruent pieces.

Step 3: Take one of the halves and place it on its side so that the circular cross-section is facing you.

Step 4: Make the second slice perpendicular to the base of the cylinder. Start from one end of the cheese and slice across the diameter to the other end. This slice will cut the cylinder into two equal halves as well as create a semicircular section.

Step 5: Take one of the halves, similar to Step 3, and place it on its side, again with the circular cross-section facing you.

Step 6: Make the final slice perpendicular to the base of the cylinder, starting from one end and cutting across the diameter to the other end. This slice will divide the cylinder and the semicircular section into two equal pieces each.

By following these steps, you will end up with eight congruent pieces of cheese from a cylindrical piece using only three slices.