err.... first off, I do not understand how you could have room for 6AA's but not a single 9v battery.
A d cell and a AAA are the same voltage but the D battery has more charge, so it will put out that voltage for much longer then the AAA.
Do you know how much resistance each LED is?
Even for 40 LEDs if they are the small ones a 9v battery could fry them.
and are they mounted in parallel or a series?
series is one after the other in a row (like have the + of one led connect to the - of the next), parallel would be like having a positive and a negative wire and then bridging the leds across every 1cm or 10cm or whatever.
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