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A wooden block in the shape of a rectangular prism is cut into two congruent pieces. Which statement best compares the surface areas of the pieces to the surface area of the original block?

A The surface area of each piece is equal to 1/2 the surface area of the original block.

B The surface area of each piece is equal to the sum of half the surface area of the original block plus half the area of the face created by the cut.

C The surface area of each piece is equal to the sum of half the surface area of the original block plus the area of the face created by the cut.

D The surface area of each piece is equal to the surface area of the original block minus the area of the face created by the cut.

The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm2, m2, and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.

The suface area of the complete prism

= 2x² + 4xy

= 2x² + 4x(2x)

= 2x² + 8x²

= 10 x²

The surface area of the half prism

= 2x² + 4x(y/2)

= 2x² + 4x(2x/2)

= 6x²

Thus, The surface area of each piece is equal to the sum of half the surface area of the original block plus the area of the face created by the cut.

Hence, the correct option is C.

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