A prism with 24 edges will have 10 faces.
In a prism, each face is a flat surface. A prism has two parallel bases that are polygonal shapes, and the other faces are rectangular. The number of faces in a prism is determined by the shape of its bases. If the prism has a triangular base, it will have 3 rectangular faces on the sides, and the two triangular bases, making a total of 5 faces. If the prism has a rectangular or a square base, it will have 4 rectangular faces on the sides, and the two bases, making a total of 6 faces.
Since the prism in question has 24 edges, we can determine the shape of its bases by dividing the number of edges by the number of edges on each base. If the bases are polygons, we can find the number of edges by multiplying the number of vertices by the number of sides on each polygon. By trying different combinations, we find that a prism with 8-sided bases (octagon) will have 24 edges. Therefore, the prism has 2 octagonal bases and 8 rectangular faces, making a total of 10 faces.
#SPJ11
A. 41
B. –7
C. –3
D. 25