surface area   43 videos

• Surface Area of Spheres

GeometryVolume

How to calculate the surface area of a sphere given a radius.

• Surface Area of Prisms

GeometryArea

How to calculate the surface area of any prism.

prism 3d bases lateral faces lateral area surface area
• Surface Area of Cones

GeometryArea

How to calculate the surface area of any cone explaining lateral surface area.

cone circle circumference lateral area lateral edge
• Surface Area of Cylinders

GeometryArea

How to prove the surface area of a cylinder formula.

circle lateral area circumference
• Surface Area of Joined Solids

GeometryArea

How to calculate the surface area of a cylinder joined to a cone.

joined solid cone cylinder lateral area circle
• Surface Area of Pyramids

GeometryArea

How to calculate the surface area of any pyramid, emphasizing regular polygons as bases.

regular polygon lateral area apothem
• Volume and Surface Area

Pre-AlgebraIntroductory Geometry

Vocabulary and formulas for surface area and volume of common solids

• Area of Triangles

GeometryArea

How to derive the area of a triangle formula using the rectangle area formula.

area triangles rectangles altitude
• Area of Parallelograms

GeometryArea

How to find the area of any parallelogram using rectangle area formulas.

area of rectangles base times height
• Area of a Segment

GeometryArea

How to derive the area of a segment formula.

• Area With Determinants

PrecalculusSystems of Linear Equations and Matrices

How to compute the area of a parallelogram using a determinant.

parallelogram vectors determinant area
• Area of Circles

GeometryArea

How to derive the formula to calculate the area of a circle.

• Similarity and Volume Ratios

GeometrySimilarity

How to identify if two solids are similar and how to convert 1D ratios to surface area and volume ratios.

similarity volume ratios surface area
• Definite Integrals and Area

CalculusThe Definite Integral

How to use definite integrals to find the area between a curve or under a curve.

definite integral area problems area between curves
• Area of a Sector

GeometryArea

How to derive the formula to calculate the area of a sector in a circle.

sector central angle intercepted arc circle radius area
• Similarity and Area Ratios

GeometrySimilarity

How to convert between length and area ratios of similar polygons

polygons similar area ratios
• Multiplying Polynomials using Area Models

AlgebraPolynomials

How to relate area of rectangles to multiplying polynomials.

area binomial trinomial distributing
• Using Sine to Calculate the Area of a Triangle

TrigonometryBasic Trigonometry

How to calculate the area of any triangle using two sides and an included angle.

area of a triangle sine
• Using Sine to Calculate the Area of a Triangle

PrecalculusBasic Trigonometry

How to calculate the area of any triangle using two sides and an included angle.

area of a triangle sine
• Using Sine to Calculate the Area of a Triangle

GeometryBasic Trigonometry

How to calculate the area of any triangle using two sides and an included angle.

area of a triangle sine