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Applied Mathematics — Second Secondary
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Curriculum
Applied Mathematics — Second Secondary
Unit 1: Statics
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Forces
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Forces — Lesson quiz
6 questions
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Resolution of Forces
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Resolution of Forces — Lesson quiz
6 questions
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Resultant of Coplanar Concurrent Forces
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Resultant of Coplanar Concurrent Forces — Lesson quiz
6 questions
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Equilibrium of a Rigid Body under Coplanar Forces
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Equilibrium of a Rigid Body under Coplanar Forces — Lesson quiz
6 questions
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Equilibrium on a Rough Horizontal Plane
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Equilibrium on a Rough Horizontal Plane — Lesson quiz
6 questions
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Unit 2: Solid and Analytic Geometry
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Lines and Planes in Space
Text lesson
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Lines and Planes in Space — Lesson quiz
6 questions
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The Pyramid and the Cone
Text lesson
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The Pyramid and the Cone — Lesson quiz
6 questions
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Lateral and Total Area of Pyramid and Cone
Text lesson
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Lateral and Total Area of Pyramid and Cone — Lesson quiz
6 questions
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Volume of the Right Pyramid and Cone
Text lesson
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Volume of a pyramid
Volume of a right circular cone
Areas of the bases used
Worked examples
Common mistakes
Lesson summary
Volume of the Right Pyramid and Cone — Lesson quiz
6 questions
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Equation of a Circle
Text lesson
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Equation of a Circle — Lesson quiz
6 questions
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Text lesson
Volume of the Right Pyramid and Cone
Applied Mathematics — Second Secondary
Volume of the Right Pyramid and Cone
Explanation
Practice
Areas of the bases used
Areas of the bases used
Before calculating the volume of a pyramid we need the area of its base. The most important cases are:
Shape of the base
Area
Square of side a
a²
Rectangle with sides a and b
a × b
Equilateral triangle of side a
√3 ÷ 4 × a²
Circle of radius r
π r²
Volume of the Right Pyramid and Cone · 3 / 6
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