Answer:
135
Step-by-step explanation:
The little cubes with side length 1/3 unit have volume (1/3 unit)³ or (1/27 unit)³. Divide the prism volume (5 units³) by (1/27 units³) to determine how many little cubes are required to fill the prism:
5 units³
--------------- = 135 little cubes.
1/27 unit
Note: This assumes that the dimensions of the prism are such that there is no wasted space when all these little cubes are packed inside. For example, if the width of the prism were 3, then we assume that 3 little cubes would fit that particular dimension.
There are 135 cubes in the cube with a volume of 5 cubic units and the small cube has a side length of 1/3 unit.
It is defined as three-dimensional geometry that has six square faces and eight vertices.
As we know, the volume of the cube = side³
The volume of the rectangular prism = 5 cubic units
The volume of the small cube with side lengths of 1/3 unit is:
= (1/3)×(1/3)×(1/3)
= 1/27
The number of cubes in the big cube = 5/(1/27)
= 5×27
= 135 cubes
Thus, there are 135 cubes in the cube with a volume of 5 cubic units and the small cube has a side length of 1/3 unit.
Learn more about the cube here:
brainly.com/question/15420947
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