Volume and Surface Area of Triangular Prism

Volume and Surface Area of Triangular Prism. Triangular prism is an polyhedron. A prism with two identical bases. Prism is a solid object that has two identical ends and all flat sides. The cross section is the same all along its length. The shape of the ends give the prism a name, such as "triangular prism"

Surface Area of Triangular Prism
A = (b x h) + ( 3 x l x b )

Volume of Triangular Prism

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Volume and Surface Area of Cone

Volume and Surface Area of Cone. Cone is a solid shape with an elliptical base and curved surface that tapers to a point (vertex). Vertex is where : two or more rays or the arms of an angle meet, the adjacent sides of a polygon meet or the edges of a solid figure meet. A cone has a flat base, It has one curved side, Because it has a curved surface it is not a polyhedron.

Surface Area
Surface Area of Base = π × r2, Surface Area of Side = π × r × s
Surface area of Cone = π × r2  + π × r × s

Volume = 

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Volume and Surface Area of Rectangular Cuboid

Volume and Surface Area of Rectangular Cuboid. In a rectangular cuboid (a polyhedron, a right prism with six rectangular plane faces ), all angles are right angles (a right angle is an internal angle which is equal to 90°), and opposite faces of a cuboid are equal ( having the same amount and value). It is also a right rectangular prism (a polyhedron, a prism with two identical, rectangular bases).  

Volume and Surface Area
The volume of a rectangular cuboid is found using the formula:
Volume = Height × Width × Length
Which is usually shortened to:
V = h × w × l
Or more simply:
V = hwl

Surface Area
And the surface area is found using the formula:
A = 2(wl + lh + hw)
    = 2((15x20)+(20x10)+(10x15)
    = 2(300 + 200 + 150)
    = 2(650)
    = 1.300 cm

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Volume and Surface Area Of Cube

In geometry, a cube is a three-dimensional solid object bounded by six square faces, facets or sides, with three meeting at each vertex. The cube can also be called a regular hexahedron and is one of the five Platonic solids. It is a special kind of square prism, of rectangular parallelepiped and of trigonal trapezohedron. The cube is dual to the octahedron. It has cubical symmetry (also called octahedral symmetry). It is special by being a cuboid and a rhombohedron.

A cube is a solid shape that has :

• 6 square faces all equal in size.
• 8 vertices ( corners) and
• 12 equal edges

Surface Area of Cube :
6b2 or 6 x b2

Volume of the cube
Volume= b3  or b x b x b
              = 10 x 10 x 10
              = 100 x 10
              = 1.000 cm3

Example
A cube has 12 cm ribs. Calculate the surface area and volume of ​​a cube !
Surface area = 6b2 
                       = 6 x 12 x 12
                       = 72 x 12
                       = 864 cm
Volume = b x b x b
              = 12 x 12 x 12
              = 144 x 12
              = 1.728 cm

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