112k views
2 votes
Why is the length of the base of a rectangle the same as the circumference of the circles in the net of a cylinder?

1 Answer

5 votes

The net of a cylinder is a 2-dimensional representation of a 3-dimensional cylinder that has been "unwrapped" and laid flat. The net consists of two circles (representing the top and bottom of the cylinder) and a rectangle (representing the side of the cylinder).

The length of the base of the rectangle in the net of a cylinder represents the circumference of the cylinder, which is the distance around the circular base of the cylinder. The circumference of a circle is calculated using the formula C = 2πr, where C is the circumference, π is a mathematical constant approximately equal to 3.14, and r is the radius of the circle.

In the net of a cylinder, the base of the rectangle is the same as the circumference of the circles because it is equal to the distance around the circular base of the cylinder. The width of the rectangle represents the height of the cylinder, which is the same as the distance between the top and bottom circles.

Answer:

Therefore, the length of the base of a rectangle in the net of a cylinder is the same as the circumference of the circles because it represents the distance around the circular base of the cylinder.

User Timactive
by
7.2k points