A block of wood \( 2 \text{m} \) high \( 3 \text{m} \) long and \( 4 \text{m} \) wide is to be cut into spheres of radius \( 1 \text{m} \) each. How many such spheres can be cut out?
###### Image Credit: Flickr Blocks of Wood by Puzzleparadox

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