Elegant Algebraic Equations for 3D prisms

Shape                                      Formula
Cube                                        A = 6s2                            Where s is a side length.

Rectangular Prism                  A = 2B + Ph
                                               Where B is the area of the base, P is the perimeter of the base and
                                               h is the height.

                                               A = 2(lw + lh + wh)
                                              Where l is the length, w is the width,
                                              and h is the height.

Pyramid                                  A = 4[(bh)/2] + lw
                                              Where b is the base length, h is the height of the triangle (the slant
                                              height), l is the length of the base, and w is the width of the base.

                                               A = B + ½(Ph)
                                              Where B is the area of the base, P is the perimeter of the base,
                                              and h is the height of the triangle (the slant height).

Isosceles triangular prism             A = 2[(b1h1)/2]  + 2[(b2h2)/2] + B
                                                      Where b1 and h1 is the base and height related to the triangle,
                                                       b2 and h2 is the base and height related to the rectangles,

                                                      and B is the area of the base.

Cylinder                                          A = 2πr2 + (2πr)h                              
        A = 2πr(r + h)                  

        Where r is the radius of the circle.


Where B is found by finding the area of the base (length x width),
and P is the sum of all sides of the base.

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