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Cubes Test - 3

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Cubes Test - 3
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  • Question 1
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    Directions For Questions

    A cube is coloured red on two opposite faces, blue on two adjacent faces and yellow on two remaining faces. It is then cut into two halves along the plane parallel to the red faces. One piece is then cut into four equal cubes and the other one into 32 equal cubes.

    ...view full instructions

    How many cubes do not have any red face?

    Solution

    16 cubes of the second layer from the bottom will not have any red face.

     

  • Question 2
    1 / -0

    Directions For Questions

    A cube is coloured red on two opposite faces, blue on two adjacent faces and yellow on two remaining faces. It is then cut into two halves along the plane parallel to the red faces. One piece is then cut into four equal cubes and the other one into 32 equal cubes.

    ...view full instructions

    How many cubes have at least two coloured faces?

    Solution

    No. of at least two coloured faces cubes = No. of three faces coloured cubes + No. of two faces coloured cubes = 8 + 12 = 20.

     

  • Question 3
    1 / -0

    Directions For Questions

    A cube is coloured red on two opposite faces, blue on two adjacent faces and yellow on two remaining faces. It is then cut into two halves along the plane parallel to the red faces. One piece is then cut into four equal cubes and the other one into 32 equal cubes.

    ...view full instructions

    How many cubes have each a yellow face with other faces without colour?

    Solution

    Two cubes each from two yellow faces will have one face painted yellow with other faces without colour. Hence, 2 × 2 = 4 such cubes will be obtained.

     

  • Question 4
    1 / -0

    Directions For Questions

    A cube is coloured red on two opposite faces, blue on two adjacent faces and yellow on two remaining faces. It is then cut into two halves along the plane parallel to the red faces. One piece is then cut into four equal cubes and the other one into 32 equal cubes.

    ...view full instructions

    How many cubes have at least one face painted blue?

    Solution

    Seventeen cubes including four bigger cubes have at least one face painted blue.

     

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