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Surface Area And Volume Test - 1

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Surface Area And Volume Test - 1
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Weekly Quiz Competition
  • Question 1
    1 / -0

    Two cuboids, each of breadth 3 cm, length 6 cm and height 6 cm, are joined to form a cube. What is the total surface area of the resultant cube?

    Solution

    When two cuboids are joined to form a cube, then side of the cube becomes 6 cm each.
    Total surface area of the resultant cube = 6 × (Side)2 = 6 × (6)2 cm2 = 216 cm2

     

  • Question 2
    1 / -0

    If the volume of a cube is (12)3 m3, then the total surface area of the cube is equal to

    Solution

    Volume of a cube = a3, where 'a' is the edge of the cube.

    Given, volume of the cube = (12)3 m3

    a3 = (12)3 m3

    Taking cube root, we get

    a = 12 m

    Now, total surface area of the cube = 6a2

    = 6(12)2

    = 6 × 12 × 12
    = 6 × 144

    = 864 m2

     

  • Question 3
    1 / -0

    If the radius of a hemisphere is 3 cm, then its total surface area is

    Solution

    Given:
    Radius of the hemisphere (r) = 3 cm
    Total surface area of the hemisphere = 3π r2

    = 3π(3)2 cm2

    = 3π × 3 × 3 cm2

    = 27π cm2

     

  • Question 4
    1 / -0

    A rectangular cuboid block of dimensions 18 cm × 12 cm × 9 cm is cut into an exact number of equal cubes. Find the possible number of cubes.

    Solution

    Dimensions of the block = 18 cm × 12 cm × 9 cm
    To find the longest side of smaller cubes, find the HCF of 18, 12 and 9.

    HCF of 18, 12 and 9 = 3
    Number of cubes = Volume of the bigger block/Volume of each smaller cube

    = (18 × 12 × 9)/(3 × 3 × 3) = 72

     

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