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Mensuration Test - 1

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  • Question 1
    1 / -0

    A covered wooden box has the inner measures as 115 cm, 75 cm and 35 cm and the thickness of wood is 2.5 cm. Find the volume of the wood.

    Solution

    Thickness of the wood = 2.5 cm
    Now, external dimensions of the wooden box are :
    Length = 120 cm, width = 80 cm & height = 40 cm
    Volume of wood = (120 × 80 × 40) - (115 × 75 × 35) = 82125 cm3

     

  • Question 2
    1 / -0

    Find the sum of two opposite sides of a parallelogram whose height is 25 cm and area is 15 m2.

    Solution

    Height = 25 cm

    Area of the parallelogram = 15 m2 = 150000 cm2

    Area of the parallelogram = Base × Height

    150000 = Base × 25
    Base = 6000 cm
    Now, sum of parallel sides = 6000 + 6000 = 12000 cm

     

  • Question 3
    1 / -0

    Four ice cubes of sides 11 cm, 12 cm 13 cm and 14 cm are melted and then frozen together again to form one big ice cube. Find the side of the new ice cube formed.

    Solution

    Let the side of the new cube be S.
    According to the question,
    Total volume of all the cubes = Volume of the new cube

    113 + 123 + 133 + 14= S3

    1331 + 1728 + 2197 + 2744 = 8000 cm3 = S3

    S = 20 cm

     

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