What is the volume of a square pyramid with base edges of 32 cm and a slant height of 34 cm?
a. 30,720 cm3
b. 15,360 cm3
c. 11,605 cm3
d. 10,240 cm3

Volume=1/3*area of the base * h
we don't have height but we have slant height. , which we can use the Pythagorean theorem to find the height.
 The short leg of the triangle is half of the base. so, 32/2=16
Height=√slant height squared  minus the short leg squared
Height=√34²-16²
h=30. 
Now, we can use the formula to find the volume of the square pyramid.
volume=1/3*32²*30

V=10,240 cm³

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