常用面积、体积计算公式.docx

常用面积、体积计算公式名称简图计算公式表面积S,侧表面积M',总面积M体积V正六角柱(a一I*/S=2×2.598a2+6ahV=2.598a2h正方角锥台aIIa+b、S=a-+b-+4(Xh)2V=(a2+b2+ab)3球软S=4r2=d24d3V=r=36圆锥2SM,=rl=rVr2+h2IhV=r23截头圆锥M'=L(r+rl)油V=(r2+r12+rr,)3缺球-4S=dh+C24祝2V=(3d-2h)3盆头贮罐T!M=3.14DH+2X1.075D2V=0.78D¾+2×0.123D390°锥底贮罐I已YM=3.14DH+1.075Dl+l.IlD2V=0.785D¾+0.123D3+0.131Ds60。锥底贮罐z口M=3.14DH+1.075D2+1.57D2V=0.785D2H+0.123D,+0.22D5H一D-球底空M=L57D2周长=3.14D截面积=0.785D2V=0.26179D3碟底aM=L0748D2V=0.1227D3D-常用面积计算公式表F面积P半周长L圆周长度R外接圆的半径名称简图计算公式名称简图计算公式正方形回!彳k-a-F=a2a=0.707a=Fd=1.414a=1.414F圆F=r2=O.7854dL=2r=6.2832rR=J尸/3.1416=0.564JFd=F0.7854=1.128F长方形F=ab=aJ2-a2=bJ/一/d=4a2+b2椭圆q耀F=ab2Py2(a2+b2)2P=3.14165X、2(/+刈但包V4平行四边形冬Pb-IF=bhH=Fbb=Fh扇形鳌L=r××3.14l6O.01745ra1801F=-r1=0.008727r2a2角形湛b-b-IF=bh2P=l2(a+b+c)弓形g1-c回F=rl-c(r-h)2c=2(2r-A)r=c+4/rl=0.0174ra8h=r-J4r2-C22夹角F=(P(P-a)(P-Z>)(P-C)梯形F=Wxh2(a+b)a=2F-bb=-2F-aTT圆环一DF=(R2-r2)=0.7854(D2-d2)J1蛾/正六角形F=2.598a2=2.598R?R=a=l.155r环式扇形R.F=2(R2-r2)360=0.008732(R2-r2)a一夹角常用体积和表面积计算公式表名称计算公式名计3帛公式简图表面积S,侧面积M体积V称简图表面积S,侧面积M体积V正立空心帙I柱(管)M=内侧表面积+外侧表面积=2h(r+r1)方体J5IS=6a2V=a37V=h(r2-r2)长立方体iS=2(ah+bh+ab)V=abh斜底截圆柱)3M=r(h+h1)h+.V="丁1圆柱CM=2rh=dhV=r2h=h4球分!IrS=(4h+c)2V=2rh3=r2×3