Question

geometry all formula​

Answer 1

*** Mensuration Formulas ***

Cube ( s - side )

CSA = $4(side)^2$

TSA = $6(side)^2$

Volume = $(side)^2$

Cuboid ( l - length, b - breadth, h - height)

CSA = $2(lh+bh)$ (common) or $2(lb+bh)$ or $2(lb+lh)$

CSA = $2(lb+lh+bh)$

Volume = $lbh$

(right-circular) Cylinder ( r - base-radius , h - height )

CSA = $2\pi rh$

TSA = $2\pi rh+2(\pi r^2)=2\pi r(r+h)$

Volume = $\pi r^2h$

(right-circular) Cone ( r - base-radius , h - height , l - slant height )

CSA = $\pi rl$

TSA = $\pi rl+\pi r^2=\pi r(r+l)$

Volume = $\pi r^2h$

(right-circular) Frustum ( $r_1$ - bootom_base_radius , $r_2$ - bootom_base_radius , h - height , l - slant height )

CSA = $\pi(r_1+r_2)l$

TSA = $\pi(r_1+r_2)l+\pi(r_1)^2+\pi(r_2)^2$

Volume = $\frac{1}{3}\pi((r_1)^2+(r_2)^2+r_1*r_2)h$