If a large Rubik's cube has a volume of 1,331 cubic inches what is its surface area?

V = (4/3) pir^3

SA=4pir^2

so

given

v=1331

1331 = (4/3) pir^3

times both sides by 3/4

998.25=pir^3

divide both sides by pi

998.25/pi=r^3

cube root both sides

∛ (998.25/pi) = r

ok

SA=4pir^2

SA=4pi (∛ (998.25/pi)) ²

SA=4pi (∛ (996503.0625 / (pi²)))

SA=4pi∛ (996503.0625 / (pi²))

use your calculator

SA=585.15307930795 in²

its surface area is about 585 in²