Danish used 9 balls of clay and 16 straws to make a solid pyramid. How many faces does the solid have?
Each ball of clay is used to make a vertex (V of them).
Each straw is used to make an edge (E of them.)
Using Euler's formula, the number of faces is given by the formula:
V+F=E+2
Solve for F.
N/a
8 faces
8 faces
Denisha used 9 balls of clay and 16 straws to make a solid pyramid.how many faces does the solid have?
8
faces
To determine the number of faces on the solid pyramid, we need to understand the structure of a pyramid.
A solid pyramid typically has a base and triangular faces that converge to a point called the apex. In this case, we can assume that Danish used the balls of clay to form the base of the pyramid and the straws to connect the balls and create the triangular faces.
Let's break down the pyramid's construction:
1. The base of the pyramid is formed by the 9 balls of clay. Since a pyramid's base is a polygon, we can infer that Danish used the balls to create a triangular base.
2. The triangular base consists of three sides. Each side is formed by joining two balls of clay.
3. The triangular faces connecting the apex to the base are formed using the 16 straws. Each triangular face will use one straw, connecting the apex to one of the vertices of the triangular base.
Now, let's calculate the number of faces:
- The base of the pyramid has 1 face (a triangle).
- Each of the 3 triangular faces connecting the apex to the base has 1 face.
- Therefore, the total number of faces on the solid pyramid is 1 (the base) + 3 (the triangular faces) = 4 faces.
To summarize, the solid pyramid created by Danish using 9 balls of clay and 16 straws has 4 faces.