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184 lines
8.3 KiB
HTML
184 lines
8.3 KiB
HTML
<!DOCTYPE html>
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<html lang="en"><!-- #BeginTemplate "/Templates/Main.dwt" --><!-- DW6 -->
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<!-- Mirrored from www.mathsisfun.com/geometry/solid-geometry.html by HTTrack Website Copier/3.x [XR&CO'2014], Sat, 29 Oct 2022 00:42:34 GMT -->
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<head>
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<meta http-equiv="content-type" content="text/html; charset=UTF-8">
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<title>Solid Geometry</title>
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<meta name="keywords" content="math, maths, mathematics, school, homework, education">
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</script>
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<header>
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<article id="content" role="main">
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<h1 class="center">Solid Geometry</h1>
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<p style="float:right; margin: 0 0 5px 10px;"><img src="images/3d-shapes.jpg" alt="3d shapes" height="136" width="200"></p>
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<p> </p>
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<p><b>Solid Geometry</b> is the <a href="index.html">geometry</a> of three-dimensional space,<br>
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the kind of space we live in.</p>
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<h2>Three Dimensions</h2>
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<table style="border: 0; margin:auto;">
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<tbody>
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<tr>
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<td>
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<p class="center">It is called <b>three-dimensional</b>,<br>
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or <b>3D</b>, because there are<br>
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three <a href="dimensions.html">dimensions</a>: <i>width, depth</i> and<i> height.</i></p>
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</td>
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<td style="width:20px;"> </td>
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<td><img src="images/3d.svg" alt="3d height width depth" height="212" width="235"></td>
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</tr>
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</tbody></table>
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<h2>Simple Shapes</h2>
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<p>Let us start with some of the simplest shapes:</p>
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<p class="center"><a href="common-3d-shapes.html"><img src="images/blue-shapes-thumb.jpg" alt="shapes thumbnail" height="91" width="192"><br>
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Common 3D Shapes</a></p>
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<h2>Properties</h2>
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<p>Solids have <i>properties</i> (special things about them), such as:</p>
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<ul>
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<li><b>volume</b> (think of how much water it could hold)</li>
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<li><b>surface area</b> (think of the area you would have to paint)</li>
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<li>how many <a href="vertices-faces-edges.html">vertices (corner points), faces and edges</a> they have</li>
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</ul>
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<h2>Polyhedra and Non-Polyhedra</h2>
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<p>There are two main types of solids, "Polyhedra", and "Non-Polyhedra":</p>
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<p><a href="polyhedron.html" class="larger">Polyhedra</a> <i>(they must have flat faces)</i>:</p>
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<table style="border: 0; margin:auto;">
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<tbody>
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<tr>
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<td style="text-align:center;"><a href="hexahedron.html"><img src="images/poly-cube.svg" alt="cube or hexahedron" height="88" width="88"></a> <a href="cuboids-rectangular-prisms.html"><img src="images/poly-square-prism.svg" alt="square prism" height="79" width="104"></a></td>
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<td><a href="hexahedron.html">Cubes</a> and<br>
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<a href="cuboids-rectangular-prisms.html">Cuboids</a> (<a href="../cuboid.html">Volume<br>
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of a Cuboid</a>) </td>
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</tr>
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<tr>
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<td style="text-align:center;"><a href="tetrahedron.html"><img src="images/poly-tetrahedron.svg" alt="tetrahedron" height="94" width="90"></a> <a href="hexahedron.html"><img src="images/poly-cube.svg" alt="cube or hexahedron" height="88" width="88"></a> <a href="octahedron.html"><img src="images/poly-octahedron.svg" alt="octahedron" height="86" width="85"></a> <a href="dodecahedron.html"><img src="images/poly-dodecahedron.svg" alt="dodecahedron" height="93" width="93"></a> <a href="icosahedron.html"><img src="images/poly-icosahedron.svg" alt="icosahedron" height="94" width="81"></a></td>
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<td><a href="../platonic_solids.html">Platonic Solids</a></td>
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</tr>
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<tr>
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<td style="text-align:center;"><a href="prisms.html"><img src="images/poly-tri-prism.svg" alt="triangular prism" height="70" width="105"></a> <a href="prisms.html"><img src="images/poly-square-prism.svg" alt="square prism" height="79" width="104"></a> <a href="prisms.html"><img src="images/poly-pent-prism.svg" alt="pentagonal prism" height="73" width="113"></a></td>
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<td><a href="prisms.html">Prisms</a></td>
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</tr>
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<tr>
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<td style="text-align:center;"><a href="triangular-pyramid.html"><img src="images/poly-tri-pyr.svg" alt="triangular pyramid" height="94" width="100"></a> <a href="square-pyramid.html"><img src="images/poly-square-pyr.svg" alt="square pyramid" height="78" width="115"></a> <a href="pentagonal-pyramid.html"><img src="images/poly-pent-pyr.svg" alt="pentagonal pyramid" height="94" width="90"></a></td>
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<td><a href="pyramids.html">Pyramids</a></td>
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</tr>
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</tbody></table>
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<p><span class="larger">Non-Polyhedra</span> <i>(when any surface
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is not flat)</i>:</p>
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<table style="border: 0; margin:auto;">
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<tbody>
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<tr>
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<td style="text-align:center; background-color: white;"><a href="sphere.html"><img src="images/50px-sphere.jpg" alt="sphere" height="50" width="57"></a></td>
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<td><a href="sphere.html">Sphere</a></td>
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<td style="width:20px;"> </td>
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<td style="text-align:center; background-color: white;"><a href="torus.html"><img src="images/50px-torus.jpg" alt="torus" height="50" width="68"></a></td>
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<td><a href="torus.html">Torus</a></td>
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</tr>
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<tr>
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<td style="text-align:center; background-color: white;"><a href="cylinder.html"><img src="images/50px-cylinder.jpg" alt="cylinder" height="50" width="47"></a></td>
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<td><a href="cylinder.html">Cylinder</a></td>
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<td> </td>
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<td style="text-align:center; background-color: white;"><a href="cone.html"><img src="images/50px-cone.jpg" alt="cone" height="50" width="39"></a></td>
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<td><a href="cone.html">Cone</a></td>
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</tr>
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</tbody></table>
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<p> </p>
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<ul class="large">
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<li><a href="polyhedron-models.html">Polyhedron Models</a></li>
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<li><a href="sphere-volume-area.html">Volume and Area of a Sphere Calculator</a></li>
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<li><a href="spheroid.html">Spheroid</a></li>
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<li><a href="cross-sections.html">Cross Sections</a></li>
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<li><a href="vertices-faces-edges.html">Vertices, Faces, and Edges</a></li>
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<li><a href="cone-sphere-cylinder.html">Cone vs Sphere vs Cylinder</a></li>
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<li><a href="pyramid-vs-cone.html">Pyramid vs Cone</a></li>
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<li><a href="prism-vs-cylinder.html">Prism vs Cylinder</a></li>
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<li><a href="pyramid-vs-cube.html">Pyramid vs Cube</a></li>
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<li><a href="cylinder-horizontal-volume.html">Volume of Horizontal Cylinder</a></li>
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<li><a href="eulers-formula.html">Euler's Theorem</a></li>
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<li><a href="pythagoras-3d.html">Pythagoras in 3D</a></li>
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<li><a href="hypercubes.html">Hypercubes</a></li>
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</ul>
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<p> </p>
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<div class="related">
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<a href="index.html">Geometry</a>
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<a href="polyhedron.html">Polyhedron</a>
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<a href="../platonic_solids.html">Platonic Solids</a>
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</div>
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<!-- #EndEditable -->
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</article>
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<footer id="footer" class="centerfull noprint"></footer>
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<div id="copyrt">Copyright © 2022 Rod Pierce</div>
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