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Volume & Surface Area (Cambridge (CIE) IGCSE Maths)

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    What is the formula for the volume of a cuboid?

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

    The formula for the volume of a cuboid is V equals l cross times w cross times h

    Where:

    • V equalsvolume

    • l equalslength

    • w equalswidth

    • h equalsheight

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

    The formula for the volume of a cylinder is V equals pi r squared h

    Where:

    • V equalsvolume

    • r equalsradius

    • h equalsheight

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

    The formula for the volume of a cone is V equals 1 third pi r squared h

    Where:

    • V equalsvolume

    • r equalsradius

    • h equalsperpendicular height

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

    The formula for the volume of a sphere is V equals 4 over 3 pi r cubed

    Where:

    • V equalsvolume

    • r equalsradius

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

    The formula for the volume of a pyramid is V equals 1 third A h

    Where:

    • V equalsvolume

    • A equalsarea of the base

    • h equalsperpendicular height of the pyramid

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

    The formula for the volume of a prism is V equals A l

    Where:

    • V equalsvolume

    • A equalscross-sectional area

    • l equalslength

  • What is a frustum?

    A frustum is a truncated (chopped-off) cone or pyramid.

    E.g.

    A truncated cone (frustum).

  • How can the volume of a hemisphere be found?

    The volume of a hemisphere can be found by halving the volume of the complete sphere.

  • How can the volume of a frustum be found?

    The volume of a frustum is the volume of the larger cone/pyramid minus the volume of the smaller cone/pyramid that has been 'cut off'.

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

    The formula for the surface area of a cylinder is A equals 2 pi r squared plus 2 pi r h

    Where:

    • A equals surface area

    • r equalsradius

    • h equalsheight

  • True or False?

    The formula for the curved surface area of a cone is A equals pi r l plus pi r squared

    Where:

    • A equalssurface area

    • r equalsradius

    • l equalsslant height

    False.

    A equals pi r l plus pi r squared is the total surface area of a cone.

    The formula for the curved surface area of a cone is A equals pi r l

    Where:

    • A equalssurface area

    • r equalsradius

    • l equalsslant height

    (pi r squared is the area of the circular base of the cone.)

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

    The formula for the surface area of a sphere is A equals 4 pi r squared

    Where:

    • A equalssurface area

    • r equalsradius

  • True or False?

    The surface area of a hemisphere comprises the surface area of a sphere and the area of a circle of the same radius.

    False.

    The surface area of a hemisphere comprises half the surface area of a sphere, and the area of a circle of the same radius.

  • True or False?

    The surface area of a cuboid consists of three pairs of equal rectangles.

    True.

    The surface area of a cuboid consists of three pairs of equal rectangles.

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

    The formula for the total surface area of a cone is A equals pi r squared plus pi r l

    Where:

    • A equalssurface area

    • r equalsradius

    • l equalsslant height

  • True or False?

    The net of a cylinder consists of two circles and a rectangle.

    True.

    The net of a cylinder consists of two circles and a rectangle.

Previous:Circles, Arcs & SectorsNext:Congruence & Similarity

    1. Topic 1

      Number Toolkit

    2. Topic 2

      Set Notation & Venn Diagrams

    3. Topic 3

      Prime Factors, HCF & LCM

    4. Topic 4

      Powers, Roots & Standard Form

    5. Topic 5

      Fractions Toolkit

    6. Topic 6

      Percentages Toolkit

    7. Topic 7

      Simple & Compound Interest, Growth & Decay

    8. Topic 8

      Surds

    9. Topic 9

      Working with FDP

    10. Topic 10

      Working with Ratios

    11. Topic 11

      Compound Measures (Speed, Density, Pressure)

    12. Topic 12

      Time, Currency & Conversions

    13. Topic 13

      Rounding, Estimation & Bounds

    14. Topic 14

      Using a Calculator

    1. Topic 1

      Algebra Toolkit

    2. Topic 2

      Algebraic Roots & Indices

    3. Topic 3

      Expanding & Factorising Brackets

    4. Topic 4

      Linear Equations & Inequalities

    5. Topic 5

      Quadratic Equations

    6. Topic 6

      Rearranging Formulas

    7. Topic 7

      Simultaneous Equations

    8. Topic 8

      Algebraic Fractions

    9. Topic 9

      Forming & Solving Equations

    10. Topic 10

      Functions

    11. Topic 11

      Sequences

    12. Topic 12

      Proportion

    1. Topic 1

      Coordinate Geometry

    2. Topic 2

      Linear Graphs

    3. Topic 3

      Quadratic Graphs

    4. Topic 4

      Further Graphs & Tangents

    5. Topic 5

      Solving & Graphing Inequalities

    6. Topic 6

      Real-Life Graphs

    7. Topic 7

      Differentiation

    1. Topic 1

      Geometry Toolkit

    2. Topic 2

      Angles in Polygons & Parallel Lines

    3. Topic 3

      Bearings, Constructions & Scale Drawings

    4. Topic 4

      Circle Theorems

    1. Topic 1

      Area & Perimeter

    2. Topic 2

      Circles, Arcs & Sectors

    3. Topic 3

      Volume & Surface Area

    4. Topic 4

      Congruence & Similarity

    1. Topic 1

      Right-Angled Triangles (Pythagoras & Trigonometry)

    2. Topic 2

      Sine, Cosine Rule & Area of Triangles

    3. Topic 3

      3D Pythagoras & Trigonometry

    4. Topic 4

      Trigonometric Graphs & Equations

    1. Topic 1

      Vectors

    2. Topic 2

      Transformations

    1. Topic 1

      Basic Probability

    2. Topic 2

      Probability Diagrams (Tree & Venn Diagrams)

    3. Topic 3

      Conditional Probability

    1. Topic 1

      Averages & Range

    2. Topic 2

      Statistical Diagrams

    3. Topic 3

      Histograms

    4. Topic 4

      Cumulative Frequency

    5. Topic 5

      Scatter Graphs & Correlation