A rectangular box open at the top is volume of 32 c.c Find the least material dimensions of the box

In the following google drive link, you can down load MA3151- JAN22 question paper fully solved https://drive.google.com/drive/folder... Evaluate integral 1 to 2 integral 1 to 3 xy^2dx dy    • #Doubleintegration || Evaluate integral 1 ...   #tripleintegrals|| integral 0 to log2 integral 0 to x integral 0 to {x+y} e^{x+y+2} dx dy dz    • #tripleintegrals|| integral 0 to log2 inte...   #TripleIntegrals || Calculate the volume of the solid bounded by the planes x=0,y=0,z=0 and x+y+z=1    • #TripleIntegrals || Calculate the volume o...   #tripleintegrals integral 0 to 1 integral 0 to 1-x} integral 0 to {x+y} e^{x}dx dy dz    • #tripleintegrals integral 0 to 1 integral ...   Change the order of integration integral 0 to a integral a-\sqrt{a^2-y^2} to a+\sqrt{a^2-y^2} dy dx    • Change the order of integration integral 0...   Change the order of integration & evaluate integral 0to a integral y to a x by\sqrt{x^2+y^2} dx dy    • Change the order of integration & evaluate...   #integrals || Change the order of integration \integral 0 toa integral x^2/a to 2a-x xy dydx    • #integrals || Change the order of integrat...   Change the order of integration integral 0 to infinity integral x to infinity e^-y by y dy dx    • Change the order of integration integral 0...   Change the order of integration & evaluate integral 0to a integral y to a x by\sqrt{x^2+y^2} dx dy #integrals, #multipleintegrals, #applicationofintegrals || Change the order of integration \integral 0 to1 integral x^2 to 2-x xy dydx    • #integrals || Change the order of integrat...   In the following link I have explained hydro static force of one end of a cylindrical drum by an example.    • #Applicationofintegrals || hydro static  f...   Change the order of integration integral 0 to infinity integral x to infinity e^-y by y dy dx #Integrals || Evaluate integral of (2x+5) by \sqrt{x^2-2x+10} dx    • #Integrals || Evaluate integral of (2x+5) ...   Evaluate integral 3x+1 by (x-1)^2(x+3)dx    • #IntegralPartialfractionmethod || Evaluate...   Evaluate integral 0 to 1 integral 0 to 2 integral 0 to 3 xyz dx dy dz Evaluate double integral e^{x^2+y^2} dy dx in polar bounded by x-axis and curve y=sqrt{1-x^2}.    • Evaluate  double integral e^{x^2+y^2}  dy ...      • Evaluate integral 0 to 1 integral 0 to 2  ...   Evaluate double integral e^{x^2+y^2} dy dx where bounded by x-axis and the curve y=sqrt{1-x^2}. Find the area of the region R enclosed by the parabola y=x^2 and y=x+2.    • #Areaasdoubleintegrals || Find the area of...