Question

From a corner of a cube, a smaller cube is cut. What can you say about the surface area and volume of the remaining portion of the cube?

• A. Volume is constant but surface area changes
• B. Volume changes but surface area is constant
• C. Volume and surface area both are constant
• D. Volume and surface area both change

Answer 1

The correct option is B

Volume changes but surface area is constant

Lets take the smaller cut part and name the vertices.

Faces ABDC, BEHD and ABEF which are part of the bigger cube are removed and due to this, new faces EFGH, AFGC and CGHD are formed due to which surface area remains constant.

Since a part of the cube is removed, the volume changes.