Question

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?

Answer 1

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 :

`\begin{gathered} V=lwh \\ V=(5)/(2)*(3)/(2)*(3)/(2) \\ \\ V=(45)/(8) \end{gathered}`