The prism below is packed with no gaps between the cubes that measure1/2 cm.What is the volume, in cubic centimeters, of the right rectangular prism?

The prism below is packed with no gaps between the cubes that measure12 cmWhat is the volume in cubic centimeters of the right rectangular prism class=

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ANSWER :

45/8 cubic centimeters

EXPLANATION :

Each cube measures 1/2 cm.

The width of the prism has 3 cubes, so it measures 3(1/2) = 3/2 cm

The length of the prism has 5 cubes, so it measures 5(1/2) = 5/2 cm

The height of the prism has 3 cubes, so it measures 3(1/2) = 3/2 cm

The volume of a prism is length x width x height.

That will be :

[tex]\begin{gathered} V=lwh \\ V=\frac{5}{2}\times\frac{3}{2}\times\frac{3}{2} \\ \\ V=\frac{45}{8} \end{gathered}[/tex]