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 cubes along the height

There are 5 cubes along the height.

Step2: Calculate the height

Since each cube has an edge length of \(\frac{1}{2}\) inch, the height \(h\) is the number of cubes times the edge - length of each cube. Using the formula \(h = n\times s\), where \(n = 5\) (number of cubes) and \(s=\frac{1}{2}\) inch (edge - length of each cube). So \(h=5\times\frac{1}{2}=\frac{5}{2}=2\frac{1}{2}\) inches.

Answer:

\(2\frac{1}{2}\) inches