Final answer:
To determine the volume of Mr. Jiminez's rectangular pyramid model, the formula V = (1/3) × length × width × height should be used, which is not provided in the question.
Other examples, including model scales and volumes of different geometric shapes, illustrate the application of various mathematical principles.
Step-by-step explanation:
Calculating the Volume of a Rectangular Pyramid
Although the question about Mr. Jiminez's model of a rectangular pyramid does not provide its specific dimensions, we can use the principle that the volume of a pyramid is one-third the base area multiplied by the height. For a rectangular pyramid, the formula becomes V = (1/3) × length × width × height. To calculate how many cubic inches Mr. Jiminez's model can hold, one would need the length, width, and height of the pyramid.
Examples of Calculating Scale Models and Volume
Here are some other examples:
- Asharah's model car, with a scale of 1/4 inch per foot and an actual car length of 12 feet, would be 3 inches long in the model (12 × 1/4).
- Kenya's model car, using a 1/2 inch per foot scale, would measure 6 inches in length (12 × 1/2).
Similarly, volume calculations for other shapes, like cylinders or rectangular boxes, involve using the right formulas for those specific geometries, such as V = πr²h for cylinders or V = length × width × height for rectangular solids.