Volume of the hexagonal prism = 1732.7772 ft³
Solution:
Height of the prism (H) = 15.4 ft
Side of the hexagon base (b) = 6.58 ft
Height from center to the side length (h) = 5.7 ft.
Let us first find the area of the base.
Area of the base (B) = 

Area of the base (B) = 112.518 ft²
To find the volume of the hexagonal prism:
Volume of the hexagonal prism = Area of the base × Height
= 112.518 × 15.4
= 1732.7772 ft³
The volume of the hexagonal prism is about 1732.7772 ft³.
Answer:
Step-by-step explanation:
this one is tricky so b/c the lines are at 90 degees we know that the arcs are similar so set up the parts of the arcs equal to 360 degrees
360 = 130 + 130 + x + x
see each part of the circle ?
then use your mad algebra skilz
100 = 2x
50 = x
:) nice.. when I do the math , it seems easy , huh :DDD
Check the picture below
surely you know how much that is.
You'll have to do the actual multiplication here:
3(n+2)(4n+1) 1 4n^2 + n + 8n + 2
-------------------- = ----- * ---------------------------
6 2 1
or (1/2) (4n^2 + 9n + 2), which, after mult., becomes
(1/2)(4n^2) + (1/2)(9n) + 1
This simplifies to 2n^2 + (9/2)n + 1
Therefore, write (1/2) in the first box and (1) in the second box.