What is the volume of a square pyramid with base edges of 18 cm and a slant height of 15 cm?

What is the volume of a square pyramid with base edges of 18 cm and a slant height of 15 cm?

Options:

(A) 1,296 `"cm"^3`
(B) 1,620 `"cm"^3`
(C) 1,944 `"cm"^3`
(D) 3,888 `"cm"^3`

We need the height:

`"h"^2` + `9^2` = `15^2`

`"h"^2` = 225-81 = 144

h = √144 = 12

Volume = (`1/3`)(area of base)(height)

= (`1/3`)(`18^2`)(12)

= 1296 `"cm"^3`