A cube with a face diagonal of 25cm has a surface area of 1875cm2
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A 25 cm cube has all edges with a length of 25 cm. Therefore each face has an area of 25*25 = 625 sq cm. As a cube has 6 faces, the total surface area of the cube is 625*6 = 3750 square centimeters.
A cube with this volume has a total surface area of 150 cm2. Each of its six sides comprises an area of 25 cm2
A cube has 6 faces each face is area 2x2 = 4 square cm surface area = 6 x 4 = 24 sq cm
The same as before. The newly exposed faces replace the lost faces, and since each face of a cube has the same area, the total remains unchanged. In fact you could even remove a cuboid rather than cube, and leave the surface area unchanged.
150 square centimetres is a measure of area. Assuming it is the total surface area of the cube, the surface area of any one [square] face is 150/6 = 25 sq cm. Consequently, the width and length are sqrt(25) = 5 cm.