Yahoo Answers is shutting down on May 4th, 2021 (Eastern Time) and beginning April 20th, 2021 (Eastern Time) the Yahoo Answers website will be in read-only mode. There will be no changes to other Yahoo properties or services, or your Yahoo account. You can find more information about the Yahoo Answers shutdown and how to download your data on this help page.
Trending News
PLEASE HELP!!!!! This is a geometry related question!?
Cans to store food are made from rectangular sheets of tin that measure 6 feet by 80 ft. A standard tin can measures about 4.5 inches tall and has a circumference of aobut 9.5 inches. Asuuming there is as 5% area added to each piece (2 lids and one lateral piece) for overlap to seal the can shut, how many complete cans can be made from one sheet of tin? EXTRA BONUS: how much tin is wasted?
1 Answer
- Anonymous9 years agoFavorite Answer
first, we'll determine how much material we have to work with. we do this by finding the area of the sheet of tin.
(6 ft) * (80 ft) = 480 square feet of material
then, we'll determine how much tin is required for the production of these tin cans. we know that the cans need to be 4.5 inches tall and have a circumference (length) of 9.5 inches.
(4.5 in) * (9.5 in) = 42.75 square inches in addition to the 5% of that because of the lids and lateral piece:
(42.75 square inches) * (.05) = 2.1375 square inches
42.75 sq. inches + 2.1375 sq. inches = 44.8875 square inches required to produce one tin can
next, we will divide the amount of material that we have by the amount of material we need for one can to determine how many cans we can produce.
(480 sq. inches) / (44.8875 sq inches) = 10.6934 cans can be produced. but because we cannot have a fraction of a can, we will round it down to 10.
now that we know how many whole cans we can make, we will determine how much total material we will be using and subtract it from the material that we have available to find the wasted material.
480 sq. inches of metal - (10 cans * 44.8875) = 31.125 sq. inches of leftover tin.