18. A box is to be made out of a 10 cm by 16 cm piece...

18. A box is to be made out of a 10 cm by 16 cm piece of cardboard. Squares of side length ? cm will be cut out of each corner, and then the ends and sides will be folded up to form a box with an open top. Find the maximum volume of the box.

19. A rectangle is inscribed with its base on the x-axis and its upper corners on the 2 parabola ? = 8 − ? . What are the dimensions of such a rectangle with the greatest possible area?

Expert Solution

milcah answered 2 years ago

there's a triangular prism with sides 8 cm, 10 cm, and 5 cm made out of...

there's a triangular prism with sides 8 cm, 10 cm, and 5 cm made out of material of n = 1.9 is submerged in an aquarium of water with n = 1.333. A ray of light strikes the 8 cm long side precisely in the middle and at 24 degrees relative to the normal. Work out all the angles that you need to work out and calculate the angle that the ray emerges at. (this might take the law of...

A box with an open top is to be constructed out of a rectangular piece of...

A box with an open top is to be constructed out of a rectangular piece of cardboard with dimensions length=10 ft and width=11 ft by cutting a square piece out of each corner and turning the sides up. Determine the length x of each side of the square that should be cut which would maximize the volume of the box.

An open-top box is to be made from a 20cm by 30cm piece of cardboard by...

An open-top box is to be made from a 20cm by 30cm piece of cardboard by removing a square from each corner of the box and folding up the flaps on each side. What size square should be cut out of each corner to get a box with the maximum volume?

An open rectangular box is made from a 9 inch by 12 inch piece of cardboard...

An open rectangular box is made from a 9 inch by 12 inch piece of cardboard by cutting squares of side length ? from the corners. Determine the length of the sides of the square which will maximize the volume. (Clearly identify the function in terms of one variable and state the domain, then solve.)

Cork price: 16 10 15 10 17 11 14 13 11 14 11 16 18 16...

Cork price: 16 10 15 10 17 11 14 13 11 14 11 16 18 16 10 17 14 14 16 7 10 12 19 15 16 14 9 12 21 13 10 16 12 16 13 17 17 13 14 18 11 12 15 16 13 18 16 17 12 12 14 9 11 14 19 13 11 17 11 13 15 14 18 18 18 12 10 11 13 14 11 14 18 13 13 19 17 14...

Cork price 16 10 15 10 17 11 14 13 11 14 11 16 18 16...

Cork price 16 10 15 10 17 11 14 13 11 14 11 16 18 16 10 17 14 14 16 7 10 12 19 15 16 14 9 12 21 13 10 16 12 16 13 17 17 13 14 18 11 12 15 16 13 18 16 17 12 12 14 9 11 14 19 13 11 17 11 13 15 14 18 18 18 12 10 11 13 14 11 14 18 13 13 19 17 14...

A box with an open top is to be constructed out of a rectangular piece of cardboard with dimensions length=9 ft

A box with an open top is to be constructed out of a rectangular piece of cardboard with dimensions length=9 ft and width=6 ft by cutting a square piece out of each corner and turning the sides up as shown in the picture. Determine the length x of each side of the square that should be cut which would maximize the volume of the box.

A 12 cm by 25 cm by 36 cm box of cereal is lying on the...

A 12 cm by 25 cm by 36 cm box of cereal is lying on the floor on one of its 25 cm 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 path? (* note: the ant can crawl on any of the 5 exposed faces (not the bottom, which is flush...

A box with an open top is to be constructed from a 10 inch by 16 inch piece of cardboard by cutting squares of equal sides length from the corners and folding up the sides

A box with an open top is to be constructed from a 10 inch by 16 inch piece of cardboard by cutting squares of equal sides length from the corners and folding up the sides. Find the dimensions of the box of largest volume that can be constructed.

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...

Question