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    An egg tray has 30 cavities to hold eggs in 5 rows and 6 columns. Each cavity is surrounded by 4 raised corners shared by adjacent cavities. How many
    Question

    An egg tray has 30 cavities to hold eggs in 5 rows and 6 columns. Each cavity is surrounded by 4 raised corners shared by adjacent cavities. How many raised corners does the egg tray have?

    A.

    30

    B.

    35

    C.

    36

    D.

    42

    Correct option is D

    Given:-
    An egg tray has 30 cavities
    Solution:-
    Egg tray has 5 rows and 6 columns of cavities, making a grid of 5 × 6 = 30 cavities.
    Each cavity is surrounded by 4 corners, but corners are shared between adjacent cavities.
    The corners are located at the intersections of the rows and columns.
    For determining the raised corners we have to find  intersections formed by the rows and columns.
    The total number of raised corners is: (columns+1)×(rows+1)
    Putting the value:-
    (6+1)×(5+1)=7×6=42(6+1) \times (5+1) = 7 \times 6 = 42
    Thus, the correct answer is (D) 42

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