Denisha used 9 balls of clay and 16 straws tomake a solid pyramid. How many faces does the solid have?
I'd say 8
8 balls and 8 straws for the base
1 ball and 8 straws for the edges
The solid has 8 faces
To find the number of faces on the solid pyramid, we first need to understand its structure.
A pyramid typically has a polygon as its base, with triangular faces connecting the base to a single point above it called the apex. In this case, the base of the pyramid is made of clay balls, and the triangular faces are made of straws.
Let's break down the number of faces:
1. The base of the pyramid consists of a polygon made of 9 clay balls. Since a polygon has an equal number of sides and angles, the base has 9 sides. Each side corresponds to a face, so we have 9 faces for the base.
2. The triangular faces connecting the apex to the base are made of straws. In a pyramid, there is one face for each triangle. Since Denisha used 16 straws to create the triangular faces, we have 16 faces in total for the triangular sides.
3. Finally, we have the apex of the pyramid. The apex is a single point and does not have any faces.
Now, let's calculate the total number of faces:
Total Faces = Faces on the Base + Triangular Faces + Apex
Total Faces = 9 + 16 + 0
Total Faces = 25
Therefore, the solid pyramid that Denisha created using 9 balls of clay and 16 straws has a total of 25 faces.