This question worth 38 points to whoever answers it :)
2 answers:
Volumeprism=volumecube times number of cubes
vprism/vcube=number of cubes
vprism=12*5*4.25=255
vcube=side^3=(1/4)^3=1/64
vprism/vcube=255/(1/64)=255*64=16320 cubes
(12*5*4.25)(1/4)^3
255/(1/64)
255*64
16320
So 16320 cubes are needed to fill the prism.
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