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

d. 10,010 thats the answer hopefully

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