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8
Octahedron
An octahedron is a
three-dimensional
geometric
shape
that has eight
triangular faces
, twelve
edges
, and six
vertices
. Each face of an octahedron is an
equilateral triangle
, meaning all three
sides
are of equal
length
.The octahedron is one of the five Platonic
solids
, which are convex
polyhedra
with
equivalent
faces
, equal
angles
, and the same number of
faces
meeting at each
vertex
. The other Platonic
solids
are the
tetrahedron
,
cube
(or
hexahedron
),
icosahedron
, and
dodecahedron
.To calculate the
surface area
of an octahedron, use the
formula
:\[A = 2 \
times
\sqrt{3} \
times
s^2\]Where \(s\) represents the
length
of a side of one of the
equilateral triangles
.To calculate the
volume
of an octahedron, use the
formula
:\[V = \frac{1}{3} \
times
\sqrt{2} \
times
s^3\]Where \(s\) represents the
length
of a side of one of the
equilateral triangles
.
Study Guide: Octahedron
What is an octahedron?
How many
faces
,
edges
, and
vertices
does an octahedron have?
What are the characteristics of the
faces
of an octahedron?
What are the other Platonic
solids
?
How do you calculate the
surface area
of an octahedron?
How do you calculate the
volume
of an octahedron?
.
Read More...
◂
Math Worksheets and Study Guides Eighth Grade. Solving equations and inequalities
Study Guide
Solving equations and inequalities
Worksheet/Answer key
Solving equations and inequalities
Worksheet/Answer key
Solving equations and inequalities
Worksheet/Answer key
Solving equations and inequalities
The resources above cover the following skills:
Algebra (NCTM)
Represent and analyze mathematical situations and structures using algebraic symbols.
Develop an initial conceptual understanding of different uses of variables.
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