how many 1/2 foot unit cubes can be added to fill the prism completely use what you know about unit cubes or the side lengths of prism to show your work or explain your answer

Respuesta :

Answer:The volume of the cube is 1/2 x 1/2 x 1/2 = 1/8

2646/(1/8) = 21168

Step-by-step explanation:

The number of cubes that will fill the prism with a volume of 24 cubic foot is 192cubes

How to find the volume of prism and cubes?

The cube is a 3 dimension shape with 8 faces. The volume of the unit cube is expressed as:

V = l^3

Given that l = 1/2 foot, hence:

V = 1/2^3
V = 1/8 cubic

For the volume of the prism, assume the volume of the required prism is 24 cubic foot

Determine the number of unit cubes

Number of cubes that will fill the prism = 24/(1/8)
Number of cubes that will fill the prism = 192 units cubes

Hence the number of cubes that will fill the prism with a volume of 24 cubic foot is 192

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