Generating smooth cube terrain using perlin noise?

Recently decided to do some light scripting and decided to go with terrain generation, cubic terrain, to be exact, meaning terrain is split into 4x4x4 cubes, I searched around for tutorials about this but they were either completely different or just overall non-existent :P

If you could provide me with a simple method on how to do this and an example if possible, that'd be greatly appreciated.

This question made me look for my old thing. I eventually found it, though I assure you this ain't really focused on, so imperfections may occur.

	local depthTable = {} -- DO NOT EDIT
	local x,z = 100,100
	local amplitude = 160
	local height = 200 -- DO NOT EDIT
	local minimum = 5
	local sea level = 0 -- 0 = normal
	local smoothness = 30 
	local groundheight = 5
	local heightOffset = 100
	local seed = 0 -- DO NOT EDIT
	local naturalAmp = true -- DO NOT EDIT
	local natAMP = 1 -- DO NOT EDIT
	local plainsBiomeSize = 60
	local built = 0 -- DO NOT EDIT
	local depthNo = 0 -- DO NOT EDIT
	local total = 0 -- DO NOT EDIT
	local depthCurrent = 0 -- DO NOT EDIT
	
	function developVoxelTerrain()
		seed = math.randomseed(tick())
		local seedA = math.random()*100
		for X = 1,x do
			for Z = 1,z do
	
				if naturalAmp then
					natAMP = math.noise(X/(smoothness*plainsBiomeSize),Z/(smoothness*plainsBiomeSize),seedA)
					
					
				end
				
				
				total = x*z
				local no = (heightOffset + math.floor(math.noise(X/smoothness,Z/smoothness,seedA)*amplitude*natAMP)*4)/4-20 + groundheight
				table.insert(depthTable,table.getn(depthTable)+1,no)
				built = built + 1
			end
			wait()
		end
		
			for R = 1,x do
				for T = 1,z do
				
					depthCurrent = depthCurrent + 1
				
					local current = depthTable[depthCurrent]
					depthNo = depthNo + 1
					for P = 1, current do
						local part = Instance.new("Part")
						part.CFrame = CFrame.new(R*4,(minimum*4)+((P*4)),T*4)
						part.Size = Vector3.new(4,4,4)
						part.Color = Color3.fromRGB(168,51,48)
						part.Anchored = true
						part.Name = "TestSoil"
						part.Material = "Slate"
						part.Parent = workspace
						
					end
					
				end
				wait()
			end
			depthNo = 0
		for X = 1,x do

			for Z = 1,z do
				depthNo = depthNo + 1
				local part = Instance.new("Part")
				part.Size = Vector3.new(4,4,4)
				part.Color = Color3.fromRGB(40,255,20)
				part.Anchored = true
				part.Name = "TestGrass"
				part.Position = Vector3.new(X*4,(minimum*4)+depthTable[depthNo]*4+4,Z*4)
				part.Material = "Grass"
				part.Parent = workspace
				total = x*z
				built = built + 1
	
			end
			wait()
		end
	end
	developVoxelTerrain()

I have long abandoned fiddling with perlin noise so I can't provide you details and simple methods. Sorry.