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Polyhedron P is a cube with a corner removed and relocated to the top of P. Polyhedron Q is a cube. How do their surface areas compare?



P

A. P’s surface area is less than Q’s surface area.

B. P’s surface area is equal to Q’s surface area.

C. P’s surface area is greater than Q’s surface area.

D. There is not enough information given to compare their surface areas.

Respuesta :

mhanifa

Answer:

  • C. P’s surface area is greater than Q’s surface area.

Step-by-step explanation:

Refer to attached

With a corner removed, it doesn't change surface area of the cube as same area is exposed equal to the area of 3 small faces.

With the corner relocated to the top of the cube, it covers the area of one small face but adds up small 5 faces (4 sides and one top). In total the P has more surface area than the Q.

Correct answer choice is C.

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