Answer:
[tex]3\frac{3}{4}\: \mathrm{cm^3}[/tex]
Step-by-step explanation:
The volume of a rectangular prism is given by [tex]V=l\cdot w\cdot h[/tex], where [tex]l[/tex] is the length of the prism, [tex]w[/tex] is the width of the prism, and [tex]h[/tex] is the height of the prism.
The box has a height of 3 boxes, a length of 5 boxes, and a width of 2 boxes. Since each box is 1/2 cm long, we can deduce the prism has a:
- Height of 1.5 cm
- Length of 2.5 cm
- Width of 1 cm
Therefore, the volume of the prism is
[tex]V=1.5\cdot 2.5\cdot 1,\\V=3.75=\boxed{3\frac{3}{4}\: \mathrm{cm^3}}[/tex]
