102. Volume of a Box An open box with a volume of 1500 cm3 is to be constructed by taking a piece of cardboard 20 cm by 40 cm, cutting squares of side length x cm from each corner, and folding up the sides. Show that this can be done in two different ways, and find the exact dimensions of the box in each case. 40 cm 20 cm

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Q: 1. A cylindrical can of soda pop is 12 cm tall and has a diameter of 6 cm. The box for a 12- pack of…

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Q: (b) Find the dimensions of a box with a square base with surface area 20 and the maximal volume.…

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A: Given problem is :

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A: Concept: The volume of the rectangular box is V=length×width×height The total faces of the…

Q: (b) Find the dimensions of a box with a square base with surface area 20 and the maximal volume. Use…

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Q: (b) Find the dimensions of a box with a square base with surface area 40 and the maximal volume.…

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Q: An open box can hold 80 cm³. It is made from a square piece of tinplate with 3 cm squares cut from…

A: To determine the dimension of the original piece of tinplate.

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Q: 3. A bakery makes bread in which ratio of the whole-wheat flour to white flour is 5:3. How much…

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A: Circumference of the circle : 2πr ; where 'r' is the radius of the circle. Perimeter of the square :…

Q: 26) A private shipping company will accept a box for domestic shipment only if the sum of its length…

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Q: 5) Find the total surface area of a regular pyramid. The base is a pentagon (5 sides) with the…

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Q: (b) Find the dimensions of a box with a square base with surface area 16 and the maximal volume.…

A: The second question has been solved as per the request of the student.   This question can be solved…

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A: For (a),The given information can be sketched and labeled as follows,

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Q: 12. Lorene plans to make several open-topped boxes in which to carry plants. She makes the boxes…

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Q: 24. A box has the following dimensions: 80 cm long, 40 cm wide and 30 cm high. You want to keep in…

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Q: How can I figure problem 9

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Q: 6.) A box with an open top has a capacity of 12.8 cu.m. If the base is a square, determine the…

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Q: A rectangular lot has an area of 1600 sq m. find the least amount of fence that could be used to…

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Q: An open box is formed by cutting equal squares out of the corners of a rectangular piece of…

A: An open box is formed by cutting equal squares out of the corners of a rectangular piece of…