What is the volume of a cube that has a diagonal of 12.8 inches? (round to nearest tenth) a) 741.2 in3 b) 1,048.6 in3 c) 1,482.9 in3 d) 2,097.2 in3

A cube has all the sides equal.

A diagonal then acts as the hypotenuse of a face such that,

Sin 45° = Side/hypotenuse = Side/12.8 => Side = Hypotenuse * Sin 45 = 9.05 in

Volume = base*width*height = sides^3 (since all sides are equal) = 9.05^3 =741.22 in^3
To nearest tenth,
Volume = 741.2 in^3 {and correct answer is A)}

Its A i took the test and got it right brainliest pls https://i.imgur.com/NqmZG2X.png