Answer:
A rectangular prism in which BA = 20 and h = 6 has a volume of 120 units3; therefore, Shannon is correct
Step-by-step explanation:
step 1
Find the area of the base of the rectangular pyramid
we know that
The volume of the rectangular pyramid is equal to
![V=\frac{1}{3}BH](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B1%7D%7B3%7DBH)
where
B is the area of the base
H is the height of the pyramid
we have
![V=40\ units^{3}](https://tex.z-dn.net/?f=V%3D40%5C%20units%5E%7B3%7D)
![H=6\ units](https://tex.z-dn.net/?f=H%3D6%5C%20units)
substitute and solve for B
![40=\frac{1}{3}B(6)](https://tex.z-dn.net/?f=40%3D%5Cfrac%7B1%7D%7B3%7DB%286%29)
![120=B(6)](https://tex.z-dn.net/?f=120%3DB%286%29)
![B=120/6=20\ units^{2}](https://tex.z-dn.net/?f=B%3D120%2F6%3D20%5C%20units%5E%7B2%7D)
step 2
Find the volume of the rectangular prism with the same base area and height
we know that
The volume of the rectangular prism is equal to
![V=BH](https://tex.z-dn.net/?f=V%3DBH)
we have
![B=20\ units^{2}](https://tex.z-dn.net/?f=B%3D20%5C%20units%5E%7B2%7D)
![H=6\ units](https://tex.z-dn.net/?f=H%3D6%5C%20units)
substitute
![V=(20)(6)=120\ units^{3}](https://tex.z-dn.net/?f=V%3D%2820%29%286%29%3D120%5C%20units%5E%7B3%7D)
therefore
The rectangular prism has a volume that is three times the size of the given rectangular pyramid. Shannon is correct
Answer:
80 points
Step-by-step explanation:
First Half: Second Half: Total Right Answers
8 questions right + 2 questions right = 10 questions right
10*8 points a piece = 80 points
Axiom and postulates. They are considered to be self evident.