Page 625 - (DK) The Ultimate Visual Dictionary 2nd Ed.

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Shapes: Solid

Three-dimensional shapes are known as solid shapes and surface areas and
include spheres, cubes, and pyramids. A solid shape with a Volumes
polygon at each face is called a polyhedron. Volume refers to the
amount of space that a
solid object occupies. Its
surface area is the sum of
the area of each of its faces.

h

tetrahedron cube octahedron r
A four-sided polyhedron. A A regular hexahedron. A polyhedron with
regular tetrahedron is shown. All sides are equal and eight sides.
all angles are 90º.
cylinder
Surface area =
2 x π x r x h + 2πr 2
Volume = π x r x h
2
Height = h
Radius = r

prism pyramid torus
A polyhedron of constant A polygonal base and A doughnutlike, ring shape. l
cross-sections in planes triangular sides that meet h
perpendicular to its at a point.
longitudinal axis.
r

cone
Surface area =
π xr x l + πr 2
2
Volume = ⅓ x π x r x l
Height = h
sphere hemisphere spheroid Radius = r
A round shape, as in a Formed when a sphere An egg-shaped solid object Side = l
ball or an orange. is cut exactly in half. whose cross-section is a circle
or an ellipse.

a
c
b

rectangular block
Surface area =
cone right cylinder helix 2 (a x b + b x c + a x c)
An elliptical or circular A tube-shaped, solid A twisted curve. The Volume = a x b x c
base with sides tapering to a figure. A right cylinder has distance moved in one
single point. parallel faces. revolution is its pitch. Sides = a, b, c
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