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

where
B is the area of the base
H is the height of the pyramid
we have


substitute and solve for B



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

we have


substitute

therefore
The rectangular prism has a volume that is three times the size of the given rectangular pyramid. Shannon is correct
 
        
             
        
        
        
The formula of an area of a circle:

We have
r = 1.8 m
π ≈ 3.14
Substitute:

 
        
             
        
        
        
Answer: 22 pieces
Step-by-step explanation:
You have to divide 49.5 ÷ 2.25
49.5÷2.25= 22
Jorge can cut 22 pieces of plywood for the tracks.
 
        
             
        
        
        
Answer:
BC = 10.24
Step-by-step explanation:
You can use the Pythagoras theorem for this question
 +
 +  =
 = 
a = 8cm
b = ???
c = 13cm
We will solve for B (length BC)
 +
 +  =
 = 
 +
 +  =
 = 
Rearrange for b
 =
 =  -
 -  
 
 = 105
 = 105
b = 
b = 10.24