Geometry Formulas
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Questions and Answers

What is the formula for the surface area of a prism?

  • π × r × (r + l)
  • 4 × π × r^2
  • 2 × lw
  • 2 × (lw + lh + wh) (correct)

    • What is the formula for the surface area of a sphere?

  • 4 × π × r^2 (correct)
  • 2 × π × r^2
  • π × r × (r + l)
  • 2 × (lw + lh + wh)

    • What is the formula for the surface area of a cone?

  • 2 × (lw + lh + wh)
  • 4 × π × r^2
  • 2 × π × r^2
  • π × r × (r + l) (correct)

    • What is the formula for the volume of a cylinder?

    <p>π × r^2 × h</p> Signup and view all the answers

    What is the formula for the volume of a pyramid?

    <p>(1/3) × Bh</p> Signup and view all the answers

    What is the formula for the surface area of a pyramid?

    <p>B + (n × s × l)</p> Signup and view all the answers

    Study Notes

    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

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    Description

    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.

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