LED Strips connection Math for Power source

[CosplayHelp]

Hi. I do not have experience with lights and other electronics, so I apologize if this sounds like blabbering.

I am making a Portal companion cube, and I am going to have it light up. I've already cut LED strips to fit what I would need it to.
Since the box opens, the lid would be a separate power source. I know how to solder, and have a rough idea how I am wiring it together (but am open to suggestions) but I am stumped calculating the power source needed to power the strips.

I have included my math below for what I was able to solve.

Box - 230 LED Lights on strips
Lid - 46 LED Lights on strips

Strips (Before Cutting) Amazon Link
2m/ 6.56 ft to 3AA (4.5V) (About 117 LEDS per strip)
SMD 5050 Diodes
3 Watts
Color: Warm White
Each strip between where you cut also says DC5V
Length of Box Total - 391 cm (12.8281 ft)
Length of Lid Total - 78.2 cm (2.565617 ft)


If I am doing my math right,

3 watts/ 6.56 ft = 45731707 watts per foot (WPF)

Box
12.8281 ft x .45731707 WPF x 1.2 = 7.03981098 Watts
Lid
2.565617 ft x .45731707 WPF x 1.2 = 1.40796053902 Watts

So I should be able to power the box with this Battery Box (8AA(12v) ) and the lid with this Battery Box (3AA(4.5V)) or this Battery Box (2 CR2032(3v)).

Box Wiring has 5 Panels, lid has 1.

If this is correct, about how long would the batteries last? Anything I should worry about?
If it is incorrect, please help me understand where I went wrong.
Thank you.

 

[kellys_eye]

Total length (14ft) is very little more than the whole strip at 2m. What does the package say about battery life? Whatever it says the batteries will last around 5% LESS - probably not noticeable by the user. Will depend on the TYPE of battery used.

CR2032 about 2 minutes /s...... AA's a lot longer.

It's a suck-and-see situation.

 

[kellys_eye]

If it's not a problem, can you recommend please a specific type of battery that would provide the longest lifespan for this?

Look into the Tesla Powerwall.

13.5kW - should power the LEDs for around 2 months none stop......

 

[CosplayHelp]

What does the package say about battery life?

The package says nothing about battery life. Though a few reviews say around 4 hours. so likely around 3.8 hours if 5% as you said.