which of the following square pyramids have a volume of 24 mm. choose all that apply
B and C
To determine which square pyramids have a volume of 24 mm, we need to know the formula for calculating the volume of a square pyramid.
The volume of a pyramid is given by the formula:
Volume = (Base Area * Height) / 3
Since we are looking for a volume of 24 mm, we can set up the equation as follows:
24 = (Base Area * Height) / 3
Now, let's look at the options and calculate their volumes to see which ones have a volume of 24 mm.
Option 1: Square Pyramid A
The base area and height of Pyramid A are not provided; therefore, it is not possible to calculate its volume. We cannot determine if it has a volume of 24 mm or not.
Option 2: Square Pyramid B
The base area and height of Pyramid B are not provided either. Without this information, we cannot calculate its volume. We cannot determine if it has a volume of 24 mm or not.
Option 3: Square Pyramid C
The base area of Pyramid C is not provided, but we know its height is 6 mm. Since we don't have the base area, it is impossible to determine if the volume is 24 mm or not.
Option 4: Square Pyramid D
Pyramid D has a base area of 8 mm^2 and a height of 9 mm. We can substitute these values into the volume formula:
Volume = (Base Area * Height) / 3
Volume = (8 * 9) / 3
Volume = 72 / 3 = 24 mm
From the given options, only Square Pyramid D has a volume of 24 mm.
Therefore, the correct answer is:
- Square Pyramid D