Question

A prism is completely filled with 96 cubes that have edge lengths of 1/2 cm. What is the volume of the prism?

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Answer 1

12 cubic cm

Explanation:

`V_(1\: cube) = \bigg( (1)/(2) \bigg )^(3) = (1)/(8) \: {cm}^(3) \\ \\ \implies \:V_(96\: cubes) = 96 * (1)/(8) \: {cm}^(3) = 12\: {cm}^(3)`

It is given that: prism is completely filled with 96 cubes.

`\implies \: V_(prism) =V_(96\: cubes)`

`\implies \: \huge \red{V_(prism) = 12\: {cm}^(3)}`