1. If an open box is made from a tin sheet 10 in. square by cutting...

1. If an open box is made from a tin sheet 10 in. square by cutting out identical squares from each corner and bending up the resulting flaps, determine the dimensions of the largest box that can be made. (Round your answers to two decimal places.)

height_____ in

length _____ in

width_____ in

For its beef stew, Betty Moore Company uses aluminum containers that have the form of right circular cylinders. Find the radius and height of a container if it has a capacity of 35 in.3 and is constructed using the least amount of metal. (Round your answers to two decimal places.)

radius _____in

height _____ in

If an open box is made from a tin sheet 10 in. square by cutting out identical squares from each corner and bending up the resulting flaps, determine the dimensions of the largest box that can be made. (Round your answers to two decimal places.)

height _____in

length_______ in

width _______in

A wooden beam has a rectangular cross section of height h in. and width w in. (see the accompanying figure). The strength S of the beam is directly proportional to its width and the square of its height. What are the dimensions of the cross section of the strongest beam that can be cut from a round log of diameter d = 28 in.? (Hint: S = kh2w, where k is a constant of proportionality. Round your answers to one decimal place.) W= ______in , H= _______in.

Expert Solution

milcah answered 2 years ago

Suppose a tin box is to be constructed with a square base, an open top and...

Suppose a tin box is to be constructed with a square base, an open top and a volume of 32 cubic inches. The cost of the tin to construct the box is $0.15 per square inch for the sides and $0.30 per square inch for the base. The minimized cost of the tin box is: A. $3.50 B. $$4.82 C. none of the answers D. $9.07 E. $$\$0$$

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