Formulas Surface area and volume

 1.Cube

• Surface Area: $6a^2$

• Volume: $a^3$
  (where $a$ is the edge length)

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2. Cuboid

• Surface Area: $2(lb+bh+hl)$

• Volume: $l\times b\times h$
  (length $l$, breadth $b$, height $h$)

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3. Cylinder

• Curved Surface Area (CSA): $2\pi rh$

• Total Surface Area (TSA): $2\pi r(h+r)$

• Volume: $\pi r^{2}h$
  (radius $r$, height $h$)

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4. Cone

• CSA: $\pi rl$

• TSA: $\pi r(l+r)$

• Volume: $\frac{1}{3}\pi r^{2}h$
  (slant height $l$, vertical height $h$)

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5. Sphere

• Surface Area: $4\pi r^2$

• Volume: $\frac{4}{3}\pi r^3$

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6. Hemisphere

• CSA: $2\pi r^2$

• TSA: $3\pi r^2$

• Volume: $\frac{2}{3}\pi r^3$

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7. Frustum of a Cone (optional in some syllabi)

• CSA: $\pi (r_1+r_2)l$

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

• Volume: $\frac{1}{3}\pi h(r_1^2+r_2^2+r_1{r}_2)$
  (where $r_1$, $r_2$ = radii of circular ends; $l$ = slant height, $h$ = height )