1. The right section of a prism is in the form of a regular hexagon whose apothem measures 5 cm. If the lateral area is 360cm2, what is the length of the lateral edge of the prism?

This is the concept of geometry, the length of the lateral edge of the prism will be given by:

Length=[lateral area]/[area of the hexagon]

lateral area=360cm^2

area of hexagon will be:

Area=a^2ntan (180/n)

where;

n=number of sides

a=apothem size

A=5^2*6tan (180/6)

A=86.60

Thus the length will be:

length=360/86.6

=4.2 cm