Volume and Surface Area Formulas Flashcards

Volume Formulas

• Volume of a Cube: Calculated using the formula ( V = s^3 ) where ( s ) is the length of a side.
• Volume of a Cylinder: Determined by the formula ( V = \pi r^2 h ) where ( r ) is the radius of the base and ( h ) is the height.
• Volume of a Cone: Given by the formula ( V = \frac{1}{3} \pi r^2 h ) with ( r ) as the radius of the base and ( h ) as the height.
• Volume of a Sphere: Calculated using ( V = \frac{4}{3} \pi r^3 ) where ( r ) is the radius.

Surface Area Formulas

• Surface Area of a Right Cylinder: Found with the formula ( SA = 2\pi r(h + r) ) combining the area of the circular bases and the lateral surface area.
• Surface Area of a Right Cone: Computed by the formula ( SA = \pi r (r + l) ) where ( l ) is the slant height of the cone and ( r ) is the radius of the base.
• Surface Area of a Sphere: Given by ( SA = 4\pi r^2 ) where ( r ) represents the radius.
• Surface Area of a Right Prism: Determined using ( SA = 2B + Ph ) where ( B ) is the area of the base, ( P ) is the perimeter of the base, and ( h ) is the height.
• Surface Area of a Regular Pyramid: Calculated using ( SA = B + \frac{1}{2}Pl ) where ( B ) is the base area, ( P ) is the base perimeter, and ( l ) is the slant height.

Volume of Prism

• Volume of a Prism: Given by the formula ( V = B \cdot h ) where ( B ) is the area of the base and ( h ) is the height.