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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 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.

Answer :

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.

The option c is correct

What is rectangular prism ?

A rectangular prism is a polyhedron with two congruent and parallel bases. It is also called a cuboid. A rectangular prism has six faces, and all the faces are in a rectangle shape and have twelve edges. Because of its cross-section along the length, it is said to be a prism.

According to the question,

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, option c is correct for given condition.

To learn more about rectangular prism from here

https://brainly.com/question/21308574

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