Find the volume of the square pyramid shown. Round to the nearest tenth if necessary.
1 answer:
Formula
The formula for a pyramid is V = 1/3 * B * h
B = s * s of the square bottom
s = 10
B = 10*10
B = 100 square feet.
Height.
The height is not given. You find it using a^2 + b^2 = c^2
a = 1/2 length of the side of the base
b = height
c = 13^2
If you draw a line to the midpoint of the base form the base of the height, you get 5. You have to read that a couple of times. I don't know if you can see this or not.
AC = 10
B is the midpoint of AC that means that BD = 5
BH = 13 Given
We need HD
Use the pythagorean theorem
HD^2 + BD^2 = BH
HD^2 + 5^2 = 13^2
HD^2 + 25 = 169
HD^2 = 169 - 25
HD^2 = 144 Take the sqrt of both sides.
HD = sqrt(144)
HD = 12
Find the Volume
V = 1/3 * B * H
V = 1/3 * 100 * 12
V = 1/3 * 1200
V = 400
Answer
V = 400 square feet <<< answer
The formula for a pyramid is V = 1/3 * B * h
B = s * s of the square bottom
s = 10
B = 10*10
B = 100 square feet.
Height.
The height is not given. You find it using a^2 + b^2 = c^2
a = 1/2 length of the side of the base
b = height
c = 13^2
If you draw a line to the midpoint of the base form the base of the height, you get 5. You have to read that a couple of times. I don't know if you can see this or not.
AC = 10
B is the midpoint of AC that means that BD = 5
BH = 13 Given
We need HD
Use the pythagorean theorem
HD^2 + BD^2 = BH
HD^2 + 5^2 = 13^2
HD^2 + 25 = 169
HD^2 = 169 - 25
HD^2 = 144 Take the sqrt of both sides.
HD = sqrt(144)
HD = 12
Find the Volume
V = 1/3 * B * H
V = 1/3 * 100 * 12
V = 1/3 * 1200
V = 400
Answer
V = 400 square feet <<< answer
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Answer:
OR 77.78%
Step-by-step explanation:
So, we first need to find out how many numbers fit the "less than 29 or odd" group.
This would be: 1, 2, 3, 5, 15, 21, and 29, which is a total of 7 numbers.
Next, we figure out the total amount of numbers in the population.
This would be: 1, 2, 3, 5, 15, 21, 29, 38, and 500, which is a total of 9 numbers.
Finally, we put the first number (7) over the total (9) =
is now able to be written in a percentage, if you need.
The probability is OR 77.78%