Question: A solid rectangular block has a square base of side x cm. The height of the block is h cm and the total surface

A solid rectangular block has a square base of side x cm. The height of the block is h cm and the total surface area of the block is 96 cm. (1) Express h in terms of x and show that the volume, Vcm', of the block is given by V = 24x-x. Given that x can vary. (ii) find the stationary value of V. (iii) determine whether this stationary value is a maximum or a minimum. [3] [3] [2]

Step by Step Solution

★★★★★

3.36 Rating (162 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

i Since the surface area of the block is 96 cm2 we have hx2 4x ... View full answer

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 Accounting Questions!

A cuboid has a square base of length (2 + 5) cm. The volume of the cuboid is (16 + 75 cm 3 . Find the height of the cuboid. Express your answer in the form a + b5, where a and b are integers.

A rectangular copper block is 30 cm in height (along z). In response to a wave incident upon the block from above, a current is induced in the block in the positive x-direction. Determine the ratio...

A 20-turn rectangular coil with side l = 20 cm and w = 10 cm is placed in the yz plane as shown in Fig. 5-34 (P5.6). (a) If the coil, which carries a current I =10 A, is in the presence of a magnetic...

seventh pages Chapter 3 Curve Sketching How much metal would be required to make a 400-mL soup can? What is the least amount of cardboard needed to build a box that holds 3000 cm3 of cereal? The...

*solve the attached4 questions. 15. Let /(x) =e-2' (a) Find any horizontal and vertical asymptotes of f(r). (b) Find the intervals where f(7) is increasing and the intervals where f (7) is...

1. 3 2 Consider the function f(x) = x - 3x - 9x + 10, x (a) . Find the equation of the straight line passing through the maximum and minimum points of the graph y = f(x). (4) (b) Show that the point...

The experimental result differs from the assumption. The result shows that the ring oscillator frequencies can be grouped into two groups, where the first group is the high frequency group for the...

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...

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...

8 The equation of a circle is given by (x-2) + (y-h)?=r2, where r is the radius of the circle. The circle passes through the origin O. O is a point on the circle which is vertically below the centre...

An issue of $1,000 face value Government of Ontario bonds with a coupon of 6% paid annually and a maturity of 10 years is currently selling for $944.29. What is the yield to maturity for this bond?...

1 . Examine which database solution your organization is currently employing. Once this has been determined, interview ( where available ) the decision - maker for employing this application as a...

Tom, age 48, is advised by his family physician that he needs back surgery to correct a problem from his last back surgery. Since Tom is in a wheel chair, he needs his wife, Jean, to accompany him on...

The company named Canadian Shield will enter the market of China, Japan, and Germany; Please make an international business environmental Socio-Cultural analysis for China, Japan, and Germany in the...

Andretti Company has a single product called a Dak. The company normally produces and sells 88,000 Daks each year at a selling price of $56 per unit. The company's unit costs at this level of...

Now that you've explained it, your Events Manager at Hilton believes LEED is a good idea, but that becoming a Zero Carbon certified building is a better path to take. There are a number of strategies...

Exercise 26-11 Manufacturing overhead data for the production of Product H by Shakira Company, assuming the company uses a standard cost system, are as follows. Overhead incurred for 45,400 actual...

A Bloomberg Businessweek subscriber study asked, In the past 12 months, when traveling for business, what type of airline ticket did you purchase most often? A second question asked if the type of...

A 120-kg block is supported by a rope which is wrapped 1 1/2 times around a horizontal rod. Knowing that the coefficient of static friction between the rope and the rod is 0.15, determine the range...

Skid marks on a drag race track indicate that the rear (drive) wheels of a car skid for the first 18 m and roll with slipping impending during the remaining 382 m. The front wheels of the car are...

The 25-lb double pulley shown is at rest and in equilibrium when a constant 3.5 lb ??ft couple M is applied. Neglecting the effect of friction and knowing that the radius of gyration of the double...

Governments throughout history have levied some very interesting taxes (http://azweird.com/history/weirdest_taxes_in_history-731.html). Each of the following taxes changed citizens behavior....

Table 20P-2 shows an income tax schedule for the imaginary country of Independence. Connor is a citizen of Independence who earns $95,000 per year at his job. Assume Connor is not eligible for any...

Jackie Robinson broke baseballs color barrier in 1947, which precipitated integration in all major league teams after 12 years. Explain why the market might have acted to eliminate discrimination in...