The number of cubes that will fill the rectangular prism is 4608 cubes.
We have given that,
A rectangular prism has a length of 8 in., a width of 4in, and a height of 2 in.
The prism is filled with cubes that have edge lengths of 4in.
What is the formula of the rectangular prism?
The volume of a rectangular prism
v = lwh
Where, l = length
w = width
h = height
Therefore, v = 8 × 4 × 9 / 4
v = 288 / 4
The volume of the rectangular prism = 72 in³
let's find the volume of each cube,
The 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
number of cubes = 72 × 64
number of cubes = 4608 cubes
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