Math Help please

Question

Min Surface of a box with a volume of 2.4m3

Max volume of a cylinder with a surface area of 10.5m2

Answer 1

cube has minimum surface area for a given volume

s^3 = 2.4 m^3

s = 2.4^(1/3)= side length

surface area = 6(2.4^(2/3)) square meters

max volume for 10.5 m^2 surface area

s= sqr(10.5/6)

v =s^3 = (10.5/6)^1.5 m^3

= 1.75(sqr1.75) m^3