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:
659.6 ft
Step-by-step explanation:
x = 140 / tan 23
x = 329.82(rounded to hundredth)
so total ground distance between the cables = 2x = 2(329.82) = 659.64 feet
Answer:
The barge can carry up to 94 railroad cars.
Step-by-step explanation:
Create an inequality to represent the weight of the barge to the max weight.
24 + 4r ≤ 400
Solve for r:
4r ≤ 400 - 24
4r ≤ 376
4r ≤ 376/4
r ≤ 94
How much after subtraction
