Final answer:
The length, width, and height of the rectangular prism built out of 9 cubes measuring 1/2 foot on each side are 4.5 feet, 4.5 feet, and 0.5 feet, respectively.
Step-by-step explanation:
To find the length, width, and height of the rectangular prism, we need to consider the number of cubes and their dimensions. The prism is built out of 9 cubes, and each cube measures 1/2 foot on each side. Since the prism is made up of cubes, the dimensions of the prism will be determined by the number of cubes in each direction.
Let's start with the length. The length of the prism will be determined by the number of cubes in the direction that corresponds to the length of each cube. Since each cube measures 1/2 foot, the length of the prism will be 9 cubes * 1/2 foot per cube = 4.5 feet.
Similarly, we can find the width and height of the prism. Since there are 9 cubes in total, the width and height will each be determined by the number of cubes in each direction. Therefore, the width of the prism will be 9 cubes * 1/2 foot per cube = 4.5 feet, and the height of the prism will be 1 cube * 1/2 foot per cube = 0.5 feet.