McGraw Hill Glencoe Geometry, 2012
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McGraw Hill Glencoe Geometry, 2012 View details
Extend: Geometry Lab, Two-Dimensional Representations of Three-Dimensional Objects
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Exercise 12 Page 77

a We are asked to identify the shape of the top and bottom of a can of pineapple. To answer the question, let's draw the two-dimensional view of the top.

We can see above that the top view shows a circle and thus the top and bottom of the can have the shape of a circle.

b We are asked what shape we will get if we remove the top and the bottom, make a vertical cut down the side of the can, and uncurl and flatten the remaining body. Let's illustrate the situation with a diagram.

We can see above that the shape we get is a rectangle, where the base has the same length as the circumference of the top (and bottom) of the can, and the height is the same as the height of the can.

c We have to draw a net of the can labeling its dimensions. In part B, we drew a net without the top and bottom. Let's now draw a net of the can showing the top and the bottom, which are circles according to our answer to Part A.
We are told that the diameter of the can is inches and the height is inches. Let's find the circumference of the top (and bottom).
We know from Part B that, in the net, the length of the base of the rectangle is the same as the circumference.