The number of cubes that will fill the rectangular prism is 4608 cubes.
where
l = length
w = width
h = height
Therefore,
v = 8 × 4 × 9 / 4
v = 288 / 4
volume of the rectangular prism = 72 in³
let's find the volume of each cube,
volume of the cube = l³
where
l = length
Therefore,
v = (1 / 4)³
v = 1 / 64 in³
Therefore, the number of cubes that will fill the rectangular prism is as follows;
number of cube = 72 ÷ 1 / 64 = 72 × 64 = 4608 cubes
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