Question

MathCad on block solve

3. A square bottomed, open-top tank is to be made from a sheet of metal by bending and welding. The specifications are that the volume is to be 15.0 f using the minimum sheet area. Define the volume and surface area as functions of a and b. Find the dimensions a and b in inches and display your answer as whole numbers. Als, calculate the surface area and verify the volume using your found values of a and b. a b a b

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Total area of the sheet A = axat ab tabtab tab a A=a²+ 4ab 0 a 5 Total volume of the shoot opentank b Voaxa xb v=a²b Given, v = 50ft-3 - 86400 in 3 Given the sheet area has to be minimum =) put in o A = a?+ 4a (es) A = a²+ 40 -> ㅋ a Condition for minimems sheet carca, a A au 0 =9a-48 aa = 40 a ? a? - 24 a= 3 "/a= y av 3) A- (20)% + 4V P ) av 2X 86400 SS5.7 in la = 55,7in . qe ² pogo Az + A = 4.7622 42/3 4,-yY3 Given, v- Soft= 86400 in A = 4.7622 (86400-1% = 930715 10 2 → Area. From ©, volume, a (55:7)= 86400 i93 => 86400 b = 27.85 in b= V a² 55:772