A rectangular box is to have a square base and a volume of 5…
A rectangular box is to have a square base and a volume of 50 ft. The material for the base costs 23 cents/ft, the material for the top costs 14 cents/ft, and the material for the sides costs 10 cents/ft. If denotes the length of one side of the base (in feet), find a function in the variable giving the total cost of materials used in constructing the box in cents.
Read DetailsBy cutting away an -by- square from each corner of a rectang…
By cutting away an -by- square from each corner of a rectangular piece of cardboard and folding up the resulting flaps, a box with no top can be constructed. If the piece of cardboard is 38 inches long by 22 inches wide, find a function in the variable giving the volume of the resulting box.
Read DetailsA rectangular box is to have a square base and a volume of 2…
A rectangular box is to have a square base and a volume of 20 ft. The material for the base costs 27 cents/ft, the material for the top costs 18 cents/ft, and the material for the sides costs 16 cents/ft. If denotes the length of one side of the base (in feet), find a function in the variable giving the total cost of materials used in constructing the box in cents.
Read DetailsA rectangular box is to have a square base and a volume of 3…
A rectangular box is to have a square base and a volume of 30 ft. The material for the base costs 17 cents/ft, the material for the top costs 11 cents/ft, and the material for the sides costs 12 cents/ft. If denotes the length of one side of the base (in feet), find a function in the variable giving the total cost of materials used in constructing the box in cents.
Read DetailsBy cutting away an -by- square from each corner of a rectang…
By cutting away an -by- square from each corner of a rectangular piece of cardboard and folding up the resulting flaps, a box with no top can be constructed. If the piece of cardboard is 32 inches long by 26 inches wide, find a function in the variable giving the volume of the resulting box.
Read DetailsA billboard designer has decided that a sign should have 2-f…
A billboard designer has decided that a sign should have 2-ft margins at the top and bottom and 4-ft margins on the left and right sides. Furthermore, the billboard should have a total area of 800 ft (including the margins). If denotes the width (in feet) of the billboard, find a function in the variable giving the area of the printed region of the billboard.
Read DetailsA billboard designer has decided that a sign should have 3-f…
A billboard designer has decided that a sign should have 3-ft margins at the top and bottom and 2-ft margins on the left and right sides. Furthermore, the billboard should have a total area of 650 ft (including the margins). If denotes the width (in feet) of the billboard, find a function in the variable giving the area of the printed region of the billboard.
Read DetailsA rectangular box with no top is to have a square base and a…
A rectangular box with no top is to have a square base and a volume of 30 ft. The material for the base costs 24 cents/ft and the material for the sides costs 16 cents/ft. If denotes the length of one side of the base (in feet), find a function in the variable giving the total cost of materials used in constructing the box in cents.
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