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:
6
Step-by-step explanation:
2 to the power of 1 is 2, anything to the power of one is the original number itself. 3*2=6
Answer:
8.6
Step-by-step explanation:
We know that the tank is filled halfway, and it can hold 17.2 gallons, so we can just divide to figure out how much is half the tank (the amount we need to fill it)
17.2 / 2 = 8.6
We can check our work by multiplying
8.6 x 2 = 17.2
So it would take 8.6gal to fill it up. I hope this helps :)
answer is C
He made an error in Step 3. He should have subtracted 2 from both sides.
No, because the sum of the measures shorter legnths of the sides must be greater than the measure of the greatest angle
4+8=12
so therefor the side legnths if you tried to make into a triangle, it would make a line 12 units long
<span>no is the answer</span>
