Question: A box with a lid is to be made from a rectangular piece of cardboard measuring 72 cm by 216. Two equal squares of side

A box with a lid is to be made from a rectangular piece of cardboard measuring 72 cm by 216. Two equal squares of side x are to be removed from oneend, and two equal rectangles are to be removed from the other end so that the tabs can be folded to form a box with a lid. Find x such that the volume of the box is a maximum.

x= ? cm

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

From the perspective of a Magna Class A shareholder, what are the primary costs are benefits of Magna's dual-class ownership structure in 2010? Please be specific and also relate those costs and...

A box with a lid is to be made from a rectangular piece of cardboard measuring 6 cm by 18 cm. Two equal squares of side x are to be removed from one end, and two equal rectangles are to be removed...

A box with a lid is to be made from a rectangular piece of cardboard measuring 24cm by 72cm. Two equal squares of a side x are to be removed from one end, and two equal rectangles are to be removed...

equal squares of side x are to be removed from one end, and two equal rectangles are to be removed from the other end so that the tabs can be folded to form a box with a lid. Find x such that the...

to be removed from one end, and two equal rectangles are to be removed from the other end so that the tabs can be folded to form Abox with a lid is to be made from a rectangular piece of cardboard...

A rectangular hole is to be cut in a wall for a vent. If the perimeter of the hole is 184 in. and the length of the diagonal is aminimum, what are the dimensions of thehole? Let the length and width...

A box with a lid is to be made from a rectangular piece of cardboard measuring 66 cm by 198 cm. Two equal squares of side )1 are to be | removed from one end, and two equal rectangles are to be...

Hi, This is another problem I am having issues with. A box with a lid is to be made from a rectangular piece of cardboard measuring 42 cm by 126 cm. Two equal squares of side x are to be removed from...

A box with a lid is to be made from a rectangular piece of cardboard measuring 48 cm by 144 cm. Two equal squares of side x are to be removed from oneend, and two equal rectangles are to be removed...

A box with a lid is to be made from a rectangular piece of cardboard measuring 66 cm by 198 cm. Two equal squares of side x are to be removed from oneend, and two equal rectangles are to be removed...

squares ofaide x are to be removed from one end, and two equal rectangles are to be removed from the other end A box with a lid is to be made from a rectangular piece of cardboard measuring 42 cm by...

On August 19, 2021, Brick Co. purchased and placed in service an apartment building and land. The Total purchase price was $2,000,000, of which $400,000 was allocated to the land and $1,600,000 was...

Precipitation rate Consider the following figure from the NRCS method. What do Pe, Ia, Fa variables mean? How much runoff is generated during the initial period (close to t=0) where precipitation...

The market value of shareholders' equity for a publicly traded company is calculated as:

2023 1040 form 1.Phillip and Claire are married and file a joint return. Phillip is self-employed as a real estate agent, and Claire is a flight attendant. Phillip and Claire have three dependent...