Which of the following square pyramids have a volume of 24 mm. choose all that apply
a square pyramid with a side length of 9 mm and a height of 8 mm
a square pyramid with a side length of 3 mm and a height of 8 mm
a square pyramid with a side length of 2 mm and a height of 18 mm
a square pyramid with a side length of 6 mm and a height of 4 mm
1. B
2. C
3. D
4. C
5. B/C
The volume of a pyramid = (1/3)(area of base)(height)
test them, I see two of them
which ones are right
what are the answers
B and C
Thank you so much she is correct I literally cried when it said 6/6😓😅
To find the volume of a square pyramid, you can use the formula: Volume = (1/3) * base area * height.
Let's calculate the volumes of each pyramid option:
1. Pyramid A: A square pyramid with a side length of 9 mm and a height of 8 mm.
Volume = (1/3) * (9 mm * 9 mm) * 8 mm = 24 mm³.
So, Pyramid A has a volume of 24 mm³.
2. Pyramid B: A square pyramid with a side length of 3 mm and a height of 8 mm.
Volume = (1/3) * (3 mm * 3 mm) * 8 mm = 8 mm³.
Since Pyramid B has a volume of 8 mm³, it does not have a volume of 24 mm³.
3. Pyramid C: A square pyramid with a side length of 2 mm and a height of 18 mm.
Volume = (1/3) * (2 mm * 2 mm) * 18 mm = 8 mm³.
Similarly, Pyramid C has a volume of 8 mm³, so it does not have a volume of 24 mm³.
4. Pyramid D: A square pyramid with a side length of 6 mm and a height of 4 mm.
Volume = (1/3) * (6 mm * 6 mm) * 4 mm = 48 mm³.
Thus, Pyramid D also does not have a volume of 24 mm³.
Based on the calculations, only Pyramid A has a volume of 24 mm³.