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A cubical box has each edge …

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A cubical box has each edge 10cm and another cubicolbox is 12.5cm long ,10cm wide and 8cm (1) which box has the greater lateral surface area and how much? (2) which box has the smaller total surface area and by how much?

    • Posted by Asmit Kumar Asmit Raw 5 years, 1 month ago

    CBSE > Class 07 > Mathematics
    • 1 answers

    Gaurav Seth 5 years, 1 month ago

    (i) Lateral surface area of cubical box = 4a2 = 4 x 102 = 400 cm2

    Lateral surface area of cuboidal box = 2h (l + b)

    = 2 x 8(12.5 +10) = 16 X 22.5 = 360 cm2

    Thus, lateral surface area of cubical box is greater by

    (400 cm2 - 360 cm2) = 40 cm2

    (ii) Total surface area of cubical box = 6a2 = 6 x 102 cm2 = 600 cm2

    Total surface area of cuboidal box = 2 (lb + bh + hl)

    = 2(12.5 x 10 + 10 x 8 + 8 x 12.5)

    = 2(125 + 80 + 100)  = 2 x 305cm2  = 610 cm2 

    Thus, total surface area of cuboidal box is greater by (610 - 600) cm2 

    = 10 cm2 

    1Thank You

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