Find the volume of the square pyramid shown. Round to the nearest tenth if necessary.
Accepted Solution
A:
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