A 12 by 25 by 36 cm cereal box is lying on the floor on one of its 25 by 36 cm faces. An ant, located at one of the bottom corners of the box, must crawl along the outside of the box to reach the opposite bottom corner. What is the length of the shortest such path?
Note: The ant can walk on any of the five faces of the box, except for the bottom face, which is flush in contact with the floor. It can crawl along any of the edges. It cannot crawl under the box.
Sunday, January 3, 2010
Question 2: Dave's Puppy
Dave's new puppy is attached to a pole in the backyard with a ten foot leash. The puppy has ruined all of the grass within its reach and now the grass needs to be replaced. One package of grass seeds covers 20 squared feet and costs $3.50. How much will it cost Dave to reseed the grass?
Question 3: Creepy Crawlers
Ross collects lizards, beetles, and worms. He has more worms than lizards and beetles together. Altogether in the collection there are twelve heads and twenty-six legs. How many lizards does Ross have?
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