Remember that the area of a rectangle is the length of the rectangle multiplied by the width of the rectangle.
In this case, we could say (where is the area of the rectangle):
Substituting the values the problem gave us for and
, we can find the formula for
in terms of
, which is:
The formula for the area of the rectangle would be A(x) = 10x³ - 20x² + 65x.
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
