# Surface areas and volumes

Tutormate > CBSE Syllabus-Class 10th Maths > Surface areas and volumes

## 13 SURFACE AREAS AND VOLUMES

 Shape Figure Curved surface area Total surface area Volume Cube $4{a}^{2}$ $6{a}^{{2}^{}}$ ${a}^{3}$ Cuboid 2h(1 + b) (1b+bh+1h) 1bh cylinder $2\mathrm{\pi rh}$ $2\mathrm{\pi r}\left(\mathrm{r}+\mathrm{h}\right)$ ${\mathrm{\pi r}}^{2}\mathrm{h}$ Right circular cone l2=r2+h2 $\mathrm{\pi r}1$ $\frac{1}{3}{\mathrm{\pi r}}^{2}\mathrm{h}$ Sphere $4{\mathrm{\pi r}}^{2}$ $\frac{4}{3}{\mathrm{\pi r}}^{3}$ Hemispere $2{\mathrm{\pi r}}^{2}$ $3{\mathrm{\pi r}}^{2}$ $\frac{2}{3}{\mathrm{\pi r}}^{3}$ Frustrum

Some more formula:

Cube:

Cuboid:

Right circular hollow cylinder:

Let R and r be the external and internal radii of a hollow cylinder of height h. Then,

= External surface area + Internal surface area

Spherical shell:

If R and r are respectively the outer and inner radii of a spherical shell, then