Final answer:
To find the volume of a prism made of four stacked cubes, each with an edge length of 1/2 inch, the formula volume of stack = length x width x height is applied, resulting in a total volume of 1 cubic inch.
Step-by-step explanation:
The subject of this question is the calculation of the volume of a prism made up of stacked cubes in Mathematics. Given that each cube has an edge length of 1/2 inch, and there are four cubes in the stack, the prism can be thought of as having a height of four times the edge length of one cube since the cubes are stacked upon each other.
To find the volume, we use the formula: volume of stack = length x width x height. Because each cube is identical and has an edge length of 1/2 inch, the length and width are each 1/2 inch. The height is four times the edge length: 4 x 1/2 inch = 2 inches. Thus, the formula for the volume of the stack is: volume of stack = 1/2 in. × 1/2 in. × 2 in..
Calculating this gives us a volume of 1/2 in.². Multiplying 1/2 in.² by the height of 2 in. yields the final volume of 1/2 in.² × 2 in. = 1 cubic inch.