Question: 3) A rectangular box has height hcm, width xcm and length 2xcm. It is designed to have a volume equal to 1 litre (1000cm3). (a)

3) A rectangular box has height hcm, width xcm and length 2xcm. It is designed to have a volume equal to 1 litre (1000cm3). (a) Show that h=500/x2cm (b) Find an expression for the total surface area, s in cm2, of the box in terms of x. (c) What dimensions of the box will produce the minimum surface area

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 Mechanical Engineering Questions!

A rectangular box has height h c m , width x c m and length 2 x c m . It is designed to have a volume equal to 1 lime ( 1 0 0 0 c m 3 ) . ( 1 5 points ) ( a ) Show that h = 5 0 0 x 2 c m ( b ) Find...

Math\t107-6381\t-\tQuiz\t#4\t-\tSchultz\t-\tDue\tFebruary\t21,\t2016\t-\tpage\t1\tof 3 Follow\tthese\tdirections\tcarefully. This\tquiz\tis\tdue\tby\t11:59\tEastern\ttime\ton\tFebruary\t21,\t2016. o...

3.1 Higher Order Derivatives. Velocity and Acceleration 1 . Find f' , f" , f " , f ( 4) , f (5) , f () for f ( x ) = x5 + x3 - x2 + x+ 2. 2. Find f' and f" for f(x) =V1-x2 . Write the answers in a...

9/14/10 12:27 PM Page 321 Chapter dug84356_ch05a.qxd 5 Factoring The sport of skydiving was born in the 1930s soon after the military began using parachutes as a means of deploying troops. Today,...

3.1 Higher Order Derivatives. Velocity and Acceleration 1 . Find f' , f" , f" , f ( 4 ) , f (5 ) , f ( 6 ) for f ( x ) = x5 + x 3 - x 2 + x + 2 . 2. Find f' and f" for f(x) = V1-x2 . Write the...

Please help me with these questions from Math 151. Thank you so much. 1. A box with a square base and gpen top_ must have a volume of 119164 cmg. We wish to find the dimensions of the box that...

1. if? point} Make sure you start with a rectangular sheet of cardboard or paper. A rectangle has a width and a length that are not the same. Do not use a square piece of card ooard. Stiff paper....

If anyone could help me with these questions, please do so! Also please provide detailed and correct solutions on paper. This is really important to me and I know it's a lot of work but please! Thank...

If anyone could help me with these questions, please do so! Also please provide detailed and correct solutions on paper. Thank you so much! WK Exit Fullscreen la) Sketch a possible distance curve for...

Chrome File Edit View History Bookmarks Profiles Tab Window Help zoom & Q Fri Dec 2 2:01 PM AE4 X Aca X M Inb X M BAI X b Rut X 10_ X File X Abc X (31 X Sea X G CS X A PP X i C...

You need to develop a labor time estimate for a customer order of 20 network installations. It is estimated that the first installation will require 60 hours of labor, and a learning curve of 90...

1) A Waiting Bin inventory is completed the first and third Saturday of every month. daly every 3-7 days. the second Saturday of each fiscal month. 2) You should re-stock prescriptions as soon as...

Which statement is correct? Multiple Choice Long - term interest rates tend to be more volatile than short term rates. Firms that follow restrictive financial policies can generally avoid shontherm...

An effective budget converts the goals and objectives of an organization into data. The budget serves as a blueprint for management's plans. The budget is also the basis for control. Management...

Please be sure to interview these employees next week Henry Gold Doris Hatch and George Iosupovich. Review Sections 2.4, 2.5, and 2.6 in the Handbook of Grammar, Mechanics, and Usage, and then...

You shipped three items on June 7 however we received only one of them. Review Sections 2.4, 2.5, and 2.6 in the Handbook of Grammar, Mechanics, and Usage, and then complete the following 15 items....

We have observed your hard work because of it we are promoting you to manager of your department. Review Sections 2.4, 2.5, and 2.6 in the Handbook of Grammar, Mechanics, and Usage, and then complete...