Question

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

Answer 1

 d.10,010 thats the answer hopefully

Answer 2

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