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Thats correct, OA is D and here goes the detailed explanation for others' benefit.
The volume of a cube is length * width * depth. In a cube, the length, width, and depth are the same measurement.
Looking at statement 1:
This statement provides the width of the cube. Since the width is the same as the depth and the length, we can determine the volume of the cube.
Thus, statement (1) ALONE is sufficient. We can now eliminate C and E.
Looking at statement 2:
The surface area of a cube is equal to the sum of the areas of each of the cubes six sides. The area of each side is the length times the width of the side. Since each side of a cube is a square, the length and the width are the same. Thus, we can set up the equation:
6(length * width) = 150 cm
6(length2) = 150 [we can use length squared because length = width]
(length2) = 25
length = square root(25)
length = 5 cm
Since we know the length, we can now determine the volume of the cube.