A solid rectangular block has a square base of side x cm. The height of the...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
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 cm². (1) Express h in terms of x and show that the volume, Vcm', of the block is given by V = 24x-x². 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] 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 cm². (1) Express h in terms of x and show that the volume, Vcm', of the block is given by V = 24x-x². 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]
Expert Answer:
Answer rating: 100% (QA)
i Since the surface area of the block is 96 cm2 we have hx2 4x ... View the full answer
Related Book For
Vector Mechanics for Engineers Statics and Dynamics
ISBN: 978-0073212227
8th Edition
Authors: Ferdinand Beer, E. Russell Johnston, Jr., Elliot Eisenberg, William Clausen, David Mazurek, Phillip Cornwell
Posted Date:
Students also viewed these 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...
-
Multiple Choice Questions 1. If a company has a $25,000 reduction in sales and an increase of $7,000 in fixed costs with a contribution margin ratio of 34 percent, by how much will net income change?...
-
1. Assess the leadership behaviors of both Major Sinclair and Michael Canaris. Which leadership traits described in this chapter appear in their behavior? 2. Apply the behavioral model of leadership...
-
How has LIFO been impacted by the continuing influence of IFRS? What is it about LIFO that makes it not as appealing as FIFO, Weighted Average, and Specific Identification? Using Tesla as the company...
-
Convert the process flowsheet in Figure 7.22 into a flowsheet for mass-balance simulation Task-1. List the model equations, the variables to be specified, and the variables to be calculated. Figure...
-
On April 8, 2010, a flood destroyed the warehouse of Stuco Distributing Co. From the waterlogged records of the company, management was able to determine that the firms gross profit ratio had...
-
2 m Silt 6 m 3 m Clay A 5 m 2 m Sand under artesian pressure Bedrock Soil profile is given in Figure. The ground water level is 2 m below the ground surface. The sand layer below the clay is under...
-
Spencer Duck (SSN 000-22-1111) is single and his eight-year-old son, Mitch, lives with him nine months of the year in a rented condominium at 321 Hickory Drive in Ames, Iowa. Mitch lives with his...
-
Jeffrey Pfeffer (1998b) wrote in his article on Six dangerous myths about pay in the Harvard Business Review: People do work for money but they work even more for meaning in their lives. In fact,...
-
A company's inventory records report the following: Date Activities Units Acquired at Cost Units Sold at Retail August 1 Beginning inventory 1 5 units @ $ 4 2 = $ 6 3 0 August 5 Purchase 1 0 units @...
-
Salmone Company reported the following purchases and sales of its only product. Salmone uses a periodic inventory system. Determine the cost assigned to ending inventory using LIFO. Date Activities...
-
1. Apple Orchard Cafe has 12 FTEs, each employee is 1 FTE, 6 of these get paid $10/hour and 6 get paid $15/hour, and its revenue for April is $180,000. What should its daily total payroll cost be? (5...
-
The manager of Kingbird, Inc. reviewed the year just completed, hoping to establish a point of comparison for measuring the\ companys actual performance. Sales volume came in lower than expected, at...
-
Kubin Company s relevant range of production is 2 4 , 0 0 0 to 3 1 , 0 0 0 units. When it produces and sells 2 7 , 5 0 0 units, its average costs per unit are as follows: Average Cost per Unit Direct...
-
Suppose that the stock price S, follows lognormal distribution St= Soe(a-8-0.50) t+oiz Prove that the conditional expectation of lognormal prices, when terminal stock price ST falls below Kis where d...
-
3M Company reports the following financial statement amounts in its 10-K report: a. Compute the receivables, inventory, and PPE turnover ratios for both 2018 and 2017. (Receivables turnover and...
-
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...
-
Assume that the standard deviations of the tin-coating weights determined by any one of the 4 laboratories have the common value \(\sigma=0.012\), and that it is desired to be \(95 \%\) confident of...
-
Samples of peanut butter produced by 2 different manufacturers are tested for aflatoxin content, with the following results: (a) Use analysis of variance to test whether the two brands differ in...
-
A randomized-block experiment is run with three treatments and four blocks. The three treatment means are \(\bar{y}_{1}=6, \bar{y}_{2 \bullet}=7\), and \(\bar{y}_{3 \bullet}=11\). The total...
Study smarter with the SolutionInn App