SOLUTION: find volume of a square pyramid with side length 28 cm and a slant height 50 cm. round to the nearest cubic centimeter make a sketch to help

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Question 1075112: find volume of a square pyramid with side length 28 cm and a slant height 50 cm. round to the nearest cubic centimeter make a sketch to help

Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
If side length is length of an edge on the square base, then you have a right triangle with hypotenuse 50 (the slant height), leg 28%2F2=14, and unknown pyramid height h. You want to know this height h:

h%5E2%2B14%5E2=50%5E2
h%5E2=50%5E2-14%5E2
h=sqrt%282500-196%29
h=sqrt%282304%29
h=48



VOLUME:
%281%2F3%29%2AB%2Ah, B meaning area of the base

%281%2F3%29%2A28%5E2%2A48
16%2A28%5E2
highlight_green%2812544%29