Question

the base of the pyramid sits atop the rectangular prism. how many faces make up the composite figure?

Explanation:

Step1: Identify the faces of the rectangular prism

A rectangular prism has 6 faces. But when the pyramid is attached, one face (the top - face of the prism) is covered. So, the number of faces from the prism that contribute to the composite figure is \(6 - 1=5\).

Step2: Identify the faces of the pyramid

A pyramid (in this case, a triangular - based pyramid attached to a rectangular prism) has 4 faces. But one face (the base of the pyramid) is covered (attached to the prism). So, the number of faces from the pyramid that contribute to the composite figure is \(4 - 1 = 3\).

Step3: Calculate the total number of faces

Add the number of contributing faces from the prism and the pyramid. \(5+3=8\).

Answer:

8