Volume Formulas for Shapes

Volume Formulas for Shapes

• Volume of Cube: Calculated as ( v = l^3 ), where ( l ) is the length of a side.
• Volume of Cuboid: Determined by the formula ( v = l \times w \times h ), with ( l ) as length, ( w ) as width, and ( h ) as height.
• Volume of Sphere: Given by ( v = \frac{4}{3} \pi r^3 ), where ( r ) is the radius.
• Volume of Cylinder: Calculated with ( v = \pi r^2 h ), with ( r ) as the radius of the base and ( h ) as the height.
• Volume of Rectangular Based Pyramid: Formula is ( v = \frac{1}{3} (l \times w \times h) ), where ( l ) is length, ( w ) is width, and ( h ) is height.
• Volume of Triangular Based Pyramid: Found using ( v = \frac{1}{3} \text{(area of base) } \times h ), where ( h ) is the height.
• Volume of Cone: Uses the formula ( v = \frac{1}{3} \pi r^2 h ), where ( r ) is the radius of the base and ( h ) is the height.
• Volume of Hemisphere: Determined by ( v = \frac{2}{3} \pi r^3 ), where ( r ) is the radius.
• Volume of Prism: Calculated as ( v = \text{(area of cross section) } \times l ), where ( l ) is the length of the prism.