160 cubes required to completely pack the prism without any gap or overlap
The dimensions of the rectangular prism are given as:
Length = 1 1/3
Width = 5/6
Height = 2/3
The volume is
Volume = Length * Width * Height
This gives
Volume = 1 1/3 * 5/6 * 2/3
Evaluate the product
Volume = 20/27
The side length of the cube is
L = 1/6
The volume of the cube is
V = (1/6)^3
Evaluate
V = 1/216
The number of cubes required to completely pack the prism without any gap or overlap is
n = (20/27) / (1/216)
Evaluate
n = 160
Hence, 160 cubes required to completely pack the prism without any gap or overlap
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