Find the volume of the square pyramid shown. Round to the nearest tenth if necessary.

Question

anonymous · Answer

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anonymous · Answer

A. 600 ft3  
 
 B. 33.3 ft3  
 
 C. 1200 ft3  
 
 D. 400 ft3

anonymous · Answer

Take the base of the pyramid (10x10) = 100.
Now to find the height you must find the radius to the center which is 5.
Use the pythagorean theorem to find the height
5^2 + x^2 = 13^2
Doing this you find that the height is 12.
The volume of a pyramid is B (base side squared) h (Height) /3
Bh/3
100(12)/3
400
The correct answer I believe is D.

anonymous · Answer

For some reason I calculated 433.33 over and over. I am not sure where I went wrong. Thank you for your help