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Notes
Euler’s Formula
\(F+V-E=2\)
\(F=\)Faces
\(V=\)Vertices
\(E=\)Edges
Practice Problems
\(\textbf{1)}\) How many faces, vertices, & edges does the following figure have?
\(\textbf{2)}\) How many faces, vertices, & edges does the following figure have?
\(\textbf{3)}\) A tetrahedron has 4 faces and 4 vertices. How many edges does it have?
\(\textbf{4)}\) A octahedron has 8 faces and 12 edges. How many vertices does it have?
\(\textbf{5)}\) A dodecahedron has 20 vertices and 30 edges. How many faces does it have?
\(\textbf{6)}\) An icosahedron has 20 faces and 12 vertices. How many edges does it have?
See Related Pages\(\)
\(\bullet\text{ Geometry Homepage}\)
\(\,\,\,\,\,\,\,\,\text{All the Best Topics…}\)
\(\bullet\text{ Rectangular Prisms- Volume}\)
\(\,\,\,\,\,\,\,\,\)
\(V=l \cdot w \cdot h…\)
\(\bullet\text{ Distance Formula 3D}\)
\(\,\,\,\,\,\,\,\,d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2+(z_2-z_1)^2}…\)
\(\bullet\text{ Diagonal of a Prism}\)
\(\,\,\,\,\,\,\,\,\)
\(d=\sqrt{l^2+w^2+h^2}…\)
\(\bullet\text{ Cylinders- Volume and Surface Area}\)
\(\,\,\,\,\,\,\,\,\)
\(V=\pi r^2h\,\,\,SA=2\pi r^2+2 \pi rh…\)
\(\bullet\text{ Pyramids- Volume and Surface Area}\)
\(\,\,\,\,\,\,\,\,\)
\(V=\frac{1}{3}Bh\,\,\,SA=B+\frac{pl}{2}…\)
\(\bullet\text{ Cones- Volume and Surface Area}\)
\(\,\,\,\,\,\,\,\,\)
\(V=\frac{1}{3}\pi r^2 h\,\,\,SA=\pi r^2+\pi r l…\)
\(\bullet\text{ Spheres- Volume and Surface Area}\)
\(\,\,\,\,\,\,\,\,\)
\(V=\frac{4}{3}\pi r^3 \,\,\,SA=4 \pi r^2…\)
\(\bullet\text{ Similar figures}\)
\(\,\,\,\,\,\,\,\,\text{Similarity ratio } a:b, \text{Area ratio } a^2:b^2, \text{Volume ratio } a^3:b^3\)
\(\bullet\text{ Nets of Polyhedra}\)
\(\,\,\,\,\,\,\,\,\)
\(\bullet\text{ Andymath Homepage}\)
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