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# Geometric Formulas for Different Solids This table provides formulas for calculating the lateral/curved surface area, total surface area, and volume of various geometric solids. | S. No. | Name of the solid | Figure | Lateral/Curved surface area | Total surface area | Volume | Nomenclature | |--...

# Geometric Formulas for Different Solids This table provides formulas for calculating the lateral/curved surface area, total surface area, and volume of various geometric solids. | S. No. | Name of the solid | Figure | Lateral/Curved surface area | Total surface area | Volume | Nomenclature | |---|---|---|---|---|---|---| | 1 | Cuboid | A rectangular prism | $2(lb+bh+hl)$ | $2(lb+bh+hl)$ | $lbh$ | $l$ = length, $b$ = breadth, $h$ = height | | 2 | Cube | A cube | $4a^2$ | $6a^2$ | $a^3$ | $a$ = side of the cube | | 3 | Right prism | A prism with triangular base | Perimeter of base $\times$ height | Lateral surface area + 2(area of the end surface) | Area of base $\times$ height | - | | 4 | Regular circular cylinder | A cylinder | $2\pi rh$ | $2\pi r(r+h)$ | $\pi r^2 h$ | $r$ = radius of the base, $h$ = height | | 5 | Right pyramid | A pyramid with a polygon base | $\frac{1}{2}$(perimeter of base) $\times$ slant height | Lateral surfaces area + area of the base | $\frac{1}{3}$ area of the base $\times$ height | - | | 6 | Right circular cone | A cone | $\pi rl$ | $\pi r(l+r)$ | $\frac{1}{3}\pi r^2 h$ | $r$ = radius of the base, $h$ = height, $l$ = slant height | | 7 | Sphere | A sphere | $4\pi r^2$ | $4\pi r^2$ | $\frac{4}{3}\pi r^3$ | $r$ = radius | | 8 | Hemisphere | A hemisphere | $2\pi r^2$ | $3\pi r^2$ | $\frac{2}{3}\pi r^3$ | $r$ = radius | **Note**: The table presents formulas, figures, and some variable definitions for different geometric shapes. The layout is properly formatted table, and mathematical formulas are written in LaTeX. If there is a need to understand any formula in more detail, specific questions should be asked.