Geometry Formulas

Surface Area of Prisms

• Formula: 2 × (lw + lh + wh) where l = length, w = width, and h = height
• Includes the area of the two bases and the lateral surface area
• Lateral surface area is the area of the sides of the prism

Surface Area of Spheres

• Formula: 4 × π × r^2 where r = radius
• The surface area of a sphere is equal to four times the area of the great circle
• A great circle is a circle that divides the sphere into two equal parts

Surface Area of Cones

• Formula: π × r × (r + l) where r = radius and l = slant height
• Includes the area of the circular base and the lateral surface area
• Lateral surface area is the area of the curved side of the cone

Volume of Cylinders

• Formula: π × r^2 × h where r = radius and h = height
• The volume of a cylinder is equal to the area of the circular base times the height

Volume of Pyramids

• Formula: (1/3) × Bh where B = base area and h = height
• The volume of a pyramid is equal to one-third the base area times the height

Surface Area of Pyramids

• Formula: B + (n × s × l) where B = base area, n = number of sides, s = slant height, and l = length of one side
• Includes the area of the base and the lateral surface area
• Lateral surface area is the area of the triangular sides of the pyramid

Learn and practice formulas for surface area and volume of different geometric shapes, including prisms, spheres, cones, cylinders, and pyramids. Understand the formulas and concepts to solve problems easily.