Final answer:
To build a model of the pyramid that is 1/10 the size of the actual pyramid, The correct answer is Option A: Height, Length, and Width each reduced to 1/10 of the original.
Step-by-step explanation:
To build a model of the pyramid that is 1/10 the size of the actual pyramid, Gene should use Option A: Height, Length, and Width each reduced to 1/10 of the original. This means that all dimensions of the model pyramid should be one-tenth the size of the actual pyramid's dimensions. For example, if the height of the actual pyramid is 100 feet, the height of the model pyramid should be 10 feet.
To create a model that is 1/10 the size of the actual pyramid, all dimensions, Height, Length, and Width, must be reduced to 1/10 of the original sizes, maintaining the proportions.
If Gene wants to build a model of the above pyramid and wants to make the model 1/10 the size of the actual pyramid, the correct dimensions should be each reduced to 1/10 of the original. This means that the Height, Length, and Width should all be scaled down by the same factor. So the correct answer is (a) Height, Length, and Width each reduced to 1/10 of the original. When using a scale factor to reduce or increase the size of a model, it's important to apply the scale factor to all dimensions to maintain the proportions of the original object.
Gene should choose option c. Only the Length and Width reduced to 1/10 of the original, Height unchanged.
When constructing a model that is 1/10 the size of the actual pyramid, it's essential to maintain proportional scaling to accurately represent the original structure. In this case, reducing only the Length and Width to 1/10 of the original while keeping the Height unchanged ensures that the relative proportions of the pyramid are preserved. This approach allows the model to accurately reflect the geometric shape of the original pyramid in terms of its height, base length, and width.
If all dimensions were reduced to 1/10 of the original (option a), the model would be disproportionately smaller in all dimensions, and the relative proportions of the pyramid would not be accurately represented. Similarly, keeping all dimensions the same (option d) would not result in a model that accurately reflects the intended scale.
Therefore, by choosing option c, Gene ensures that her pyramid model maintains the correct proportions, capturing the essence of the original structure while being appropriately scaled down to 1/10 of its size.