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 3 inches $3\frac{1}{2}$ inches

Explanation:

Step1: Count the number of cubes along the height

Looking at the prism, we can see there are 3 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 \(n = 3\) (number of cubes) and \(s=\frac{1}{2}\) inch (edge - length of each cube). So \(h=3\times\frac{1}{2}=\frac{3}{2}=1\frac{1}{2}\) inches.

Answer:

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