Six pyramids are shown inside of a cube. The height of the cube is h units. The lengths of the sides of the cube are b.The area
of the base of the cube, B, is square units.The volume of the cube is blank cubic units.The height of each pyramid, h, is blank . Therefore,b = 2h.There are square pyramids with the same base and height that exactly fill the given cube.Therefore, the volume of one pyramid is blank or One-third.
1 answer:
Step-by-step explanation:
Cubes have square faces, so the area of the base is b².
The volume of the cube is b³.
The height of each pyramid is half the height of the cube, so h = b/2. Which means b = 2h.
The cube is made of 6 square pyramids with the same base and height. Therefore, each pyramid has 1/6 the volume of the cube. So the volume of each pyramid is b³/6.
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Caleb is participating in a walk-a-thon. His goal is to walk as far as possible over an 8-hour period.
For the first 3 hours, he keeps a steady pace of 2 miles per hour.
He then stops walking while he takes a 1-hour break for lunch.
It's too short. Write at least 20 characters to explain it well.
Answer:
We accept the alternate hypothesis and conclude that mean SAT score for Stevens High graduates is not the same as the national average.
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 510
Sample mean, = 502
Sample size, n = 60
Sample standard deviation, s = 30
Alpha, α = 0.05
First, we design the null and the alternate hypothesis
We use Two-tailed t test to perform this hypothesis.
Formula:
Putting all the values, we have
Now,
Since,
We reject the null hypothesis and fail to accept it.
We accept the alternate hypothesis and conclude that mean SAT score for Stevens High graduates is not the same as the national average.