Typically matches are made of small wooden sticks or stiff paper. One end is coated with a material that can be ignited by friction generated by striking the match against a suitable surface. Wooden matches are packaged in matchboxes.The head of safety matches are made of an oxidizing agent such as potassium chlorate, mixed with sulphur, fillers and glass powder. The side of the box contains red phosphorus, binder and powdered glass.The dimensions of a typical match box are marked in the figure. A small packet contains 10 match boxes filled with matches. A shop keeper purchases 150 small packets for Rs 750. He sells one match box for 60 paise.
1) If he sells the whole stock in the season, what will be his profit from the sale?
2) What is the total number of match boxes that can be stored in a box of dimensions 30cm×9cm×21cm?
3) If the shop keeper wants to get a profit of 30%from the sale, how much should he charge for one small packet?
4)If a child wants to make a closed match box of same dimensions with thin card board, what is the minimum area of card board required to make it?
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