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13. A popular brand of soup comes in cans that are 2 in. in diameter and 3 in. tall. Each such can has a paper label that covers the entire side of the can (but not the top or the bottom). a. If you remove a label from a soup can, you'll see that it's made from a rectangular piece of paper. How wide and how long is this rectangle (ignoring the small overlap where two ends are glued together)? Use mathematics to solve this problem, even if you have a can to measure. Explain your reasoning. b. Ignoring the small folds and overlaps where the can is joined, determine how much metal sheeting is needed to make the entire can, in- cluding the top and bottom. Use the moving and additivity principles about area to explain why your answer is correct. Be sure to use an ap- propriate unit to describe the amount of meta. sheeting.

13. A popular brand of soup comes in cans that are 2 in. in diameter and 3 in. tall. Each such can has a paper label that covers the entire side of the can (but not the top or the bottom). a. If you remove a label from a soup can, you'll see that it's made from a rectangular piece of paper. How wide and how long is this rectangle (ignoring the small overlap where two ends are glued together)? Use mathematics to solve this problem, even if you have a can to measure. Explain your reasoning. b. Ignoring the small folds and overlaps where the can is joined, determine how much metal sheeting is needed to make the entire can, in- cluding the top and bottom. Use the moving and additivity principles about area to explain why your answer is correct. Be sure to use an ap- propriate unit to describe the amount of meta. sheeting.

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.1: Prisms, Area And Volume
Problem 40E: As in Exercise 39, find the volume of the box if four congruent squares with sides of length 6 in....
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A popular brand of soup comes in cans that are 2 in. in diameter and 3 in. tall. Each such 13. can has a paper label that covers the entire side of the can (but not the top or the bottom). a. If you remove a label from a soup can, you'll see that it's made from a rectangular piece of paper. How wide and how long is this rectangle (ignoring the small overlap where two ends are glued together)? Use mathematics to solve this problem, even if you have a can to measure. Explain your reasoning. b. Ignoring the small folds and overlaps where the can is joined, determine how much metal sheeting is needed to make the entire can, in- cluding the top and bottom. Use the moving and additivity principles about area to explain why your answer is correct. Be sure to use an ap- propriate unit to describe the amount of metal sheeting.
Transcribed Image Text:A popular brand of soup comes in cans that are 2 in. in diameter and 3 in. tall. Each such 13. can has a paper label that covers the entire side of the can (but not the top or the bottom). a. If you remove a label from a soup can, you'll see that it's made from a rectangular piece of paper. How wide and how long is this rectangle (ignoring the small overlap where two ends are glued together)? Use mathematics to solve this problem, even if you have a can to measure. Explain your reasoning. b. Ignoring the small folds and overlaps where the can is joined, determine how much metal sheeting is needed to make the entire can, in- cluding the top and bottom. Use the moving and additivity principles about area to explain why your answer is correct. Be sure to use an ap- propriate unit to describe the amount of metal sheeting.
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