What is the volume of the cube above?

(1) The surface area of the cube is 600 square inches.

(2)The length of diagonal AB is 10~$\sqrt{3}$~ inches.

Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.

Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.

BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.

EACH statement ALONE is sufficient.

Statements (1) and (2) TOGETHER are NOT sufficient.

##### 考题讲解

（1）  已知立方体表面积为600平方英寸，每个面的面积为100平方英寸，则边长为10英寸，立方体体积为~$10^3$~=1000立方英寸。题目得解。

（2）  已知对角线AB的长为~$10\sqrt{3}$~，利用勾股定理，~$(x^2+x^2)+x^2=(10\sqrt{3})^2$~，解得~$x^2=100$~，x=10，所以立方体体积为103=1000立方英寸。题目得解。