A rectangular box without a lid is to be made from 12 m^2 of cardboard. Find...

A rectangular box without a lid is to be made from 12 m^2 of cardboard. Find the maximum volume of such a box

Expert Solution

Colby Messinger answered 2 years ago

A rectangular box without a lid should be made with 12m2 of cardboard. What are the...

A rectangular box without a lid should be made with 12m2 of cardboard. What are the dimensions of the box that maximize the volume? a.) 2m x 2m x 2m b) 1.54m x 1.54m x 0.77m c) 2m x 2m x 1m d) 4m x 4m x 2m

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.)

We want to design a rectangular box without a lid with a volume of 64000 cm^3....

We want to design a rectangular box without a lid with a volume of 64000 cm^3. Find the dimensions that maximize the surface area. Using Lagrange Multipliers Can you explain your reasoning pls

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?

Consider a box with a lid 2.1 m wide and 0.62 m long. If the inside...

Consider a box with a lid 2.1 m wide and 0.62 m long. If the inside of the box is evacuated (i.e., its pressure is zero), how much force is required to open the lid?

A cardboard container is being designed. The container will be a rectangular shape, divided into 12...

A cardboard container is being designed. The container will be a rectangular shape, divided into 12 smaller rectangular compartments. The bottom of the box must be a fixed area A, and strips of cardboard will be needed to form the walls and the dividers inside the box. In order to minimize costs, the container must be designed to minimize the length of cardboard used to form the edges and dividers. (a) Assume the box will be divided into a 12...

A rectangular box with no top is to be made to hold a volume of 32...

A rectangular box with no top is to be made to hold a volume of 32 cubic inches. Which of following is the least amount of material used in its construction? a.) 80 in2 b.) 48 in2 c.) 64 in2 d.) 96 in2

A rectangular piece of cardboard, whose area is 170 square centimeters, is made into an open...

A rectangular piece of cardboard, whose area is 170 square centimeters, is made into an open box by cutting a 2- centimeter square from each corner and turning up the sides. If the box is to have a volume of 156 cubic centimeters, what size cardboard should you start with?

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.

2. Packaging By cutting away identical squares from each corner of a rectangular piece of cardboard...

2. Packaging By cutting away identical squares from each corner of a rectangular piece of cardboard and folding up the resulting flaps, an open box may be made. If the cardboard is 16 in. long and 6 in. wide, find the dimensions (in inches) of the box that will yield the maximum volume. (Round your answers to two decimal places if necessary.) smallest value=? in ?in largest value =?in 3. Minimizing Packaging Costs A rectangular box is to have a...

Question