Surface Area of 3D Shapes

Surface Area of 3D Shapes

Definition

Surface area is the total area of the surface of a 3D shape.

Formulae

• Cube: 6s^2 (where s is the side length)
• Rectangular Prism: 2(lw + lh + wh) (where l, w, and h are the length, width, and height respectively)
• Cylinder: 2πr(h + r) (where r is the radius and h is the height)
• Sphere: 4πr^2 (where r is the radius)
• Cone: πr(r + l) (where r is the radius and l is the slant height)
• Pyramid: B + (1/2)pl (where B is the base area, p is the perimeter of the base, and l is the slant height)

Key Concepts

• Surface area is measured in square units (e.g. cm^2, m^2)
• Surface area includes the area of all faces of the 3D shape
• Surface area is used in real-world applications such as architecture, engineering, and design

Tips and Tricks

• Make sure to use the correct formula for each type of 3D shape
• Convert between units if necessary (e.g. from meters to centimeters)
• Break down complex shapes into simpler shapes to calculate surface area

Surface Area of 3D Shapes

Definition

• Surface area is the total area of the surface of a 3D shape.

Formulae

• Cube: 6s^2, where s is the side length
• Rectangular Prism: 2(lw + lh + wh), where l, w, and h are the length, width, and height respectively
• Cylinder: 2πr(h + r), where r is the radius and h is the height
• Sphere: 4πr^2, where r is the radius
• Cone: πr(r + l), where r is the radius and l is the slant height
• Pyramid: B + (1/2)pl, where B is the base area, p is the perimeter of the base, and l is the slant height

Key Concepts

• Surface area is measured in square units, such as cm^2 or m^2
• Surface area includes the area of all faces of the 3D shape
• Surface area is used in real-world applications, including architecture, engineering, and design

Tips and Tricks

• Use the correct formula for each type of 3D shape
• Convert between units if necessary, such as from meters to centimeters
• Break down complex shapes into simpler shapes to calculate surface area

Learn the formulas for calculating the surface area of different 3D shapes such as cube, rectangular prism, cylinder, sphere, cone, and pyramid.