This is a hexagonal prism: Volume = Area of Base (hexagon) x Height:
There are 6 equal equilateral triangles in a hexagone.
The apothem (or altitude of each triangle) = side x (√3)/2 =12(√3)/2 = 6√3
Area of ONE equilateral triangle = (side x altitude)/2:
Area of ONE equilateral triangle = (12 x 6√3)/2 = 36√3 ft²
Area of the SIX equilateral triangles = 36√3 x 6 = 216√3 ft²
VOLUME = BASE X HEIGHT = 216√3 x 15 = 3240√3 ft³
OR VOLUME = 5612 ft³
.......,,,,,....,..,....,.
Answer:
A and C
Step-by-step explanation:
you will see a double sign inequality when your circle on the number line is shaded in. aka a closed circle
Simplified answer would be 60k^2+k
and you get that answer by combining like terms, Good Luck!
