how would you find the volume of the cylinder arithmetically? (Read The Details I Added!)?

Question

suppose you have an object that is a rectangular cylinder. it has a base area of 6cmsquare and a height of 8cm.

Answer 1

There is no such thing as a 'rectangular cylinder'. It's either a right circular cylinder (which means the base is a circle), or it's a rectangular parallelepiped (which means the base is either a square or a rectangle).

For a right circular cylinder:
(Volume) = (Base Area) * (Height)

For a rectanglular parallelepiped:
(Volume) = (Base Area) * (Height)

In both cases, your three-dimensional form's volume would be 6*8 = 48 cm3.

Answer 2

First work out the area of the base (i.e. its a square)

6 x 6 = 36 cm^2

Then multiply by the length (or height)

36 x 8 = 288 cm^3

By the way you cannot have a rectangular cyclinder - this shape you have is called a cuboid !! ;o)