The volumes of pyramids, prisms, prisms and prisms are represented as V-cone, V-column, V-platform and V-fitting respectively.
Their volume formulas are as follows:
V-cone =( 1/3)πR? H, r- the base radius of the pyramid and the height of the pyramid;
V-pillar =Sh, the bottom area of s- prism and the height of h- prism;
Vplatform = (1/3) h (s1+s+√ s1s), S 1- upper and lower area of prism, lower area of S- prism and height of H- prism;
V-fitting = (1/6) h (s 1+S2+4S0) where s1,S2 and s0 respectively represent the upper, lower and middle cross-sectional areas of the prism, and h is the height of the prism.
The heights of pyramid, prism, frustum and prism are expressed as H cone, H column, H platform and H fitting respectively. Then their height formula is as follows:
H cone = V cone /( 1/3)πR? , r-the bottom radius of the pyramid;
H column = V column /S, where s is the bottom area of the prism;
H platform = V platform /[/3(S 1+ S+√S 1S)], upper bottom area of S 1- prism and lower bottom area of S- prism;
H = V /[6(S 1+S2+4S0)], where S 1, S2 and S0 respectively represent the upper, lower and middle cross-sectional areas of the prism.
The upper and lower bottom surfaces of the prism are parallel to the middle section, and the side surfaces are triangular or trapezoidal.