A prism is filled with 70 cubes with a side length of 1 2 unit. What is the volume of the prism in cubic units? Enter answer as a mixed number in its simplest form.

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Answer:

The volume of the cube is;

[tex]8\dfrac{3}{4} \ cube \, units[/tex]

Step-by-step explanation:

The parameters of the prism are;

The number of cubes used to fill the prism, n = 70 cubes

The side length of each cube, s = 1/2 unit

The volume of the cube, V = n × s³

∴ Therefore, the volume of the cube, V = 70 × (1/2)³ = [tex]8\dfrac{3}{4} \ cube \, units[/tex] = 8.75 cube unit