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    Grade 10 Measurements

    Uploaded by

    Ibraheem Kassam
    This document provides information about calculating surface areas and volumes of various 3D shapes like prisms, cylinders, cones, pyramids and spheres. It defines key terms, explains how surface area and volume are affected when dimensions are multiplied by a factor, and gives examples of calculating surface areas and volumes of different objects. Practice questions are also included for students to reinforce these concepts.

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    Download as PPTX, PDF, TXT or read online from Scribd

    Grade 10 Measurements

    Uploaded by

    Ibraheem Kassam
    8 views40 pages
    This document provides information about calculating surface areas and volumes of various 3D shapes like prisms, cylinders, cones, pyramids and spheres. It defines key terms, explains how surface area and volume are affected when dimensions are multiplied by a factor, and gives examples of calculating surface areas and volumes of different objects. Practice questions are also included for students to reinforce these concepts.

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    This document provides information about calculating surface areas and volumes of various 3D shapes like prisms, cylinders, cones, pyramids and spheres. It defines key terms, explains how surface area and volume are affected when dimensions are multiplied by a factor, and gives examples of calculating surface areas and volumes of different objects. Practice questions are also included for students to reinforce these concepts.

    Copyright:

    © All Rights Reserved
    Download as PPTX, PDF, TXT or read online from Scribd
    Download as pptx, pdf, or txt
    8 views40 pages

    Grade 10 Measurements

    Uploaded by

    Ibraheem Kassam
    This document provides information about calculating surface areas and volumes of various 3D shapes like prisms, cylinders, cones, pyramids and spheres. It defines key terms, explains how surface area and volume are affected when dimensions are multiplied by a factor, and gives examples of calculating surface areas and volumes of different objects. Practice questions are also included for students to reinforce these concepts.

    Copyright:

    © All Rights Reserved
    Download as PPTX, PDF, TXT or read online from Scribd
    Download as pptx, pdf, or txt
    of 40

    MEASUREME Grade 10

    NTS
    In this section, we will:
    1. Calculate surface areas and volumes of right prisms
    and cylinders.
    2. Study the effect on the surface areas and volumes
    when multiplying any of the dimensions by a factor .

    3. Calculate volumes and surface areas of right prisms,


    right cones, right pyramids, spheres and
    combinations of these figures.
    The Polyhedron family
    Platonic solids (5)
    Right prisms
    Pyramids
    Cylinders
    Cones
    Frustums
    Terminology
    1. A polyhedron is a three dimensional figure with four or more flat
    surfaces.
    2. A Platonic solid is a regular polyhedron made up of congruent faces.
    3. Congruent shapes are identical shapes (exactly the same shape and
    same size).
    4. A right prism is a polyhedron that has a pair of congruent bases which
    are parallel to each other and the bases are also perpendicular to the
    lateral/side faces.
    5. A cylinder is a prism with circular bases.
    6. A pyramid is a polyhedron with a polygon as a base.
    The side faces are triangles that meet at the apex.
    7. A cone has a circular base and an apex.
    6. Apex is the highest point of a solid (only cones and pyramids have an apex).
    7. Perpendicular height refers to the perpendicular distance between the top
    face or the apex of the solid and the base.
    8. Slant height of cone is the distance from the apex to any point on the
    circumference of the base.
    9. Slant height of pyramid is the distance from the apex along a lateral face
    to the midpoint of an edge of the base.
    10.Volume is a measure of how much space a solid occupies.
    11. Total surface area (TSA) refers to the area covered by the surface of the
    figure. It is the sum of the areas of all the faces of a figure.
    12.Frustum (of cone and pyramid) is the bottom portion of a cone or pyramid
    which remains after its upper part has been cut off by a plane parallel to its
    base.
    SI Units of measurement
    Length

    Area
    Volume

    Capacity
    Example 1:
    A closed hollow prism made of sheet metal is shown below.
    Calculate:
    a. The external surface area of the prism.
    b. The volume of the prism in
    c. The volume in
    Example 2
    A cylindrical drinking glass is made up of a solid glass base and a
    top curved part made of glass and which is hollow and open on
    top. Calculate:
    a. The total volume of the drinking glass.
    b. The capacity of the drinking glass in litres.
    c. The internal surface area of the glass.
    2a. The surface area of a rectangular prism is If the length is
    and the width is calculate the height of the prism.
    b. The volume of a triangular prism is and the height is
    Determine the area of the base.
    c. The surface area of a cube is Calculate the length of a
    side.
    d. The surface area of a closed cylinder is If the height is
    calculate the radius of the cylinder.
    PRACTICE QUESTIONS
    The effect of multiplying dimensions by a factor .
    Surface area is two dimensional and,
    1. If one dimension is multiplied by a constant factor k, then the
    surface area is also multiplied by the factor .
    2. If both dimensions are multiplied by a factor the surface area will
    be increased by
    Volume is three dimensional and,
    3. If one dimension is multiplied by a constant factor k, then the
    volume is also multiplied by the factor .
    4. If two dimensions are multiplied by a factor the volume will be
    increased by
    5. If all three dimensions are increased by a constant factor then the
    Example
    The Louvre Pyramid located in Paris is a large right square pyramid
    made of metal and glass. It serves as the main entrance to the Louvre
    Museum which house famous paintings such as Mona Lisa. The length
    of one side of the base is and the height is . The base of the pyramid is
    open. Calculate:
    a. The exterior surface area of the pyramid (metal and glass)
    b. The volume of the pyramid.
    Practice questions
    PAST
    EXAM
    QUESTIONS

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