If 4,800 cm2 of material is available to make a box with a square base and an open top, find the largest possible volume of the box. Step 1 Let b be the length of the base and h the height. Then we must maximize the volume of the box, V

32000cm^3

Explanation:

Length L be base length

h be the height

Volume=V

V=L^2h

Surface area if box= L^2+4lh=4800

Solving for h

(4800-l^2/4L)=h

1200L-L^3/4=h

Substitute for h in V =L^2h

v=1200L-L^3/4

Differenting =1200-3*L^2/4=0

L=√(1600)=40

Substitute L=40

In V=1200L-L^3/4

Hence 1200*40-40^4/4=32000cm^3

area of focus

electromagnetic shielding is the practice of reducing the electromagnetic field in a space by blocking the field with barriers made of conductive or magnetic materials. shielding is typically applied to enclosures to isolate electrical devices from their surroundings, and to cables to isolate wires from the environment through which the cable runs. electromagnetic shielding that blocks radio frequency electromagnetic radiation is also known as rf shielding.

the shielding can reduce the coupling of radio waves, electromagnetic fields and electrostatic fields. a conductive enclosure used to block electrostatic fields is also known as a faraday cage. the amount of reduction depends very much upon the material used, its thickness, the size of the shielded volume and the frequency of the fields of interest and the size, shape and orientation of apertures in a shield to an incident electromagnetic

from wikipedia