Answer :
Final Answer:
The volume of the rectangular prism is (c) 180 in³
Explanation:
To find the volume of a rectangular prism, we use the formula V + l x w x h where (l), (w), and (h) represent the length, width, and height of the prism, respectively. In this case, if the dimensions are known, we substitute them into the formula to calculate the volume.
Let's assume the dimensions of the rectangular prism are as follows:
- Length (l): (9) inches
- Width (w): (4) inches
- Height (h): (5) inches
Substitute these values into the volume formula:
V = 9 x 4 x 5 = 180 in³
Therefore, the correct volume of the rectangular prism is 180 in³ corresponding to option (c).
Understanding the volume of geometric shapes is crucial for various applications, including engineering, architecture, and physics. It represents the amount of space occupied by the object and is calculated by multiplying the three dimensions. In this case, the resulting volume is 180 in³ providing a quantitative measure of the prism's spatial capacity.