3-D Shapes

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  • Q1

    The areas of three adjacent faces of a cuboid are a, b and c. If the volume of the cuboid is V, then V2 is equal to

    Marks:1
    Answer:

    abc.

    Explanation:

     

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  • Q2

    If the volume of a cube is 216 cm3, then the surface area of the cube will be

    Marks:1
    Answer:

    216 cm2.

    Explanation:

    Since, volume of a cube = side3
    Thus,                     side = 6 cm
    And,
    surface area of the cube = 6 x side2
                                         = 216 cm2

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  • Q3

    If the volume of two cubes are in the ratio of 8 : 27, then the ratio of their edges is

    Marks:1
    Answer:

    2 : 3.

    Explanation:

    Let V1 and V2 be the volumes and l1 and l2 be the sides of two cubes.
    Since, volume of a cube = side3
    Therefore,          V1 : V2 = l13 : l23

       Or                    2 : 3   =   l1 : l2             (Given, V1 : V2 = 8 : 27)

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  • Q4

    The area of four walls of a room whose length is 12 m, width is 8 m and height is 10 m is

    Marks:1
    Answer:

    400 m2.

    Explanation:

    Area of four walls of a room = 2h(l+b)

    = 2x10(12+8)

    = 20x20

    = 400 m2

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  • Q5

    The base area of a cuboid is 25 cm2 and its height is 11 cm. The volume of the cuboid is

    Marks:1
    Answer:

    275 cm3

    Explanation:

    Volume of cuboid = base area × height
                              = (25 × 11) cm3
                              = 275 cm3

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