The volume of a square pyramid is (1/3)(area of base)(height of pyramid).
Here the area of the base is (10 ft)^2 = 100 ft^2.
13 ft is the height of one of the triangular sides, but not the height of the pyramid. To find the latter, draw another triangle whose upper vertex is connected to the middle of one of the four equal sides of the base by a diagonal of length 13 ft. That "middle" is 5 units straight down from the upper vertex. Thus, you have a triangle with known hypotenuse (13 ft) and known opposite side 5 feet (half of 10 ft). What is the height of the pyramid?
To find this, use the Pyth. Thm.: (5 ft)^2 + y^2 = (13 ft)^2. y = 12 ft.
Then the vol. of the pyramid is (1/3)(area of base)(height of pyramid) =
(1/3)(100 ft^2)(12 ft) = 400 ft^3 (answer)
Answer c venue hiddenwords was your gonna night you want
Answer:
80 adults
Step-by-step explanation:
The number of kids is $10,000/$50 = 200. The number of adults is 2/5 of that, or 80.
There are 80 adults in the group.
∠D= 87°, ∠E = 50°
Sum of three angles in a triangle is 180°
∠F = 180 - (∠D + ∠E)
∠F = 180 - (87 + 50)
∠F = 180 - 137
∠F = 43°
Side opposite to greatest angle is the longest side.
Among angle D, E and F, angle D is the greatest angle
So side opposite to angle D is the longest side which is EF
Option B is the answer
