15-5. Volume of solid and various numerical values

V= volume，S= Surface area，A_s= Side area， A_b= Bottom area，x= Distance from the bottom to the center of gravity
Size	Volume and numerical values	Size	Volume and numerical values
Cube a= d=	V=a³= S=6a²= A_s=4d²= x=a/2= d=3^0.5a=1.7321a 　=	regular polygon a=Edge length= n= Number of sides= A_b=Bottom area= h= height=	V=A_bh= S=2A_b+nha= A_s=nha= x=h/2=
Cuboid a= b= h=	V=abh 　= S=2(ab+ah+bh) 　= A_s=2h(a+b) 　= x=h/2 　= d=(a²+b²+h²)^0.5 　=	Cylinder Hollow cylinder h= r= R= t= As=	V=πr²h 　= V=A_sh 　= S=2πr(r+h) 　= A_s=2πrh 　= x=h/2 　=	V=πh(R²-r²) 　= V=πht(2R-t) 　= V=πht(2r+t) 　= x=h/2 　=
Regular hexagonal prism a= h=	V=2.598a²h 　= S=5.1963a²+6ah 　= A_s=6ah= x=h/2= d=(h²+4a²)^0.5 　=	Head column h₁= h₂= R=	V=πR²(h₁+h₂)/2 　= A_s=πR(h₁+h₂) 　 = D=[4R²+(h₂-h₁)²]^0.5 　=
Round droop R= l= h=	V=πR²h/3 　= A_s=πRl 　= l=(R²+h²)^0.5 　= x=h/4 　=	The angle of the head Top-left A_b= A_b1= a= h=	V=h/3[A_b+A_b1+(A_bA_b1)^0.5] 　= A_b=3√3a²/2=2.598a² 　= x=h/4*[A_b+2(A_bA_b1)^0.5+3A_b1]/ [A_b+(A_bA_b1)^0.5+A_b1] 　=
The head of the head R= r= a= b= l= h=	V=πh/3(R²+Rr+r²) 　= V=h/4[πa²+πb²/3] 　= A_s=πla= a=R+r= b=R-r= l=(b²+h²)^0.5= x=h/4(R²+2Rr+3r²)/(R²+Rr+r²) 　=	Directional body a= a₁= b= b₁= h=	V=h/6[(2a+a₁)b+(2a₁+a)b₁] 　=h/6[ab+(a+a₁)(b+b₁)+a₁b₁] 　= x=h/2(ab+ab₁+a₁b+3a₁b₁)/(2ab +ab₁+a₁b+2a₁b₁) 　=
Directional body a= h= A_b=	V=A_bh/3= A_b=3*3^0.5a²/2 　　　　　 =2.598a² 　= x=h/4=	Annulus R= r= D= d=	V=2π²Rr²=19.739Rr² 　= V=π²Dd²/4=2.4674Dd² 　= S=4π²Rr=39.478Rr 　= S=π²Dd=9.8696Dd 　=
ball r= d= V=	V=4πr³/3=4.188790205r³ 　= V=πd³/6=0.523598776d³ 　= S=4πr²= S=πd²= r=(3V/4π)^1/3=0.620351V^1/3 　= r=d/2=	Spherical wedge shape r= h= a=	V=2πr²h/3 　=2.0943951024r²h 　= S=πr(2h+a) 　= x=3/8*(2r-h) 　=
Missing ball a= h= V= r=	V=πh/6(3a²+h²) 　= V=πh²/3(3r-h) 　= A_s=2πVh 　= A_s=π(a²+h²) 　 = a²=h(2r-h)= x=3/4*(2r-h)²/(3r-h) 　=	a= b= h= r=	V=πh/6*(3a²+3b²+h²) 　= A_s=2πrh 　 = r²=a²+[(a²-b²-h²)/2h]² 　=
References: "Standard Machine Design Chart Handbook Revised, Augmented 4th Edition" (co-authored by Fujio Oguri and Tatsuo Oguri) Numbers and Calculation of Numbers Page 1-3 Refer to the volume and numerical values ??of the solid.