Answer:
The larger pyramid is 5,376 inches^3 greater
Explanation:
To calculate how many inch greater the volume of the larger pyramid compared to the volume of the new smaller pyramid, what we do is to calculate the volume of both.
Mathematically, the volume of a square pyramid = area of base * height of pyramid
For the larger pyramid, length of base is 16 inches and height is 24 inches;
The area of base is L^2 since it is a square; 16 * 16 = 256 inches^2
The volume is thus 256 * 24 = 6,144 inches^3
For the smaller pyramid also, we use the same approach but this time, length of base is 8 inches and height is 12 inches
Area of base = 8 * 8 = 64 inches^2
Volume = 64 * 12 = 768 inches^3
Now how much more is the larger pyramid, that would be the volume of the larger pyramid- volume of the smaller pyramid = 6144 - 768 = 5,376 inches^3