Question

in the rectangular prism, each small cube has edges that are \\(\frac{1}{2}\\) inch long. what is the height of the rectangular prism? 1 inch \\(1\frac{1}{2}\\) inches 2 inches \\(2\frac{1}{2}\\) inches

Explanation:

Step1: Count the number of layers (height direction)

Looking at the rectangular prism, the number of small cubes along the height is 5.

Step2: Calculate the height

Each small cube has an edge length of $\frac{1}{2}$ inch. So the height is the number of cubes times the edge length of each cube, which is $5\times\frac{1}{2}=\frac{5}{2}=2\frac{1}{2}$ inches.

Answer:

$2\frac{1}{2}$ inches (corresponding to the option: $2\frac{1}{2}$ inches)