Q is a cube. Find the volume of the cube.

[BTGmoderatorDC]

Q is a cube. Find the volume of the cube.

(1) The total surface area of Q is 150 sq cm
(2) The distance from one vertex of Q to the catty-corner opposite vertex is 5*sqrt(3)



OA D

Source: Magoosh

[swerve]

Q is a cube. Find the volume of the cube.

(1) The total surface area of Q is 150 sq cm
(2) The distance from one vertex of Q to the catty-corner opposite vertex is 5*sqrt(3)



OA D

Source: Magoosh

Given: \(Q\) is a cube, so all sides are equal.

From statement 1, we know the surface area so the length of a side can be calculated. So, sufficient \(\Large{\color{green}\checkmark}\)

From statement 2, we know the diagonal length, so again we can calculate the side length and gets the volume of the cube. So, sufficient \(\Large{\color{green}\checkmark}\)

Therefore, D