Maths-
General
Easy

Question

Internal length, height, and breadth of an open box are 95 cm, 82 cm, and 75 cm. Thickness of wood is given to be 2.5 cm, calculate the cost of painting outside the box as Rs 1 per dm2

  1. 458.20
  2. 386.20
  3. 626.20
  4. 384.20

hintHint:

 Total Surface Area(TSA) of cuboid = 2[ lb + bh + hl ]
Where,
l = length
b = breadth
h = height
We have to add the thickness of wood on both sides for finding the outside dimensions.

The correct answer is: 384.20


    We have given the Internal dimensions of the box
    length = 95 cm,
    breadth = 75 cm
    height = 82 cm
    Outer dimensions of the box are
    length = 95 + 2 cross times 2.5 = 100 cm,
    breadth = 75 + 2 cross times 2.5 = 80 cm
    height = 82 + 2.5 = 84.5 --as the box is open we will add only 2.5
    Surface area of the box = 2(lb+ bh +lh)

    = 2((95)(75)+(75)(82)+(95)(82))

    = 2(8000+6760+8450)=

    = 46420 cm2
    Surface area of the open box = Total area  - area of open side

    = 46420 – (95)(75)

    = 46420-8000

    = 38420 cm2

    = 384.2 dm2

    Cost of painting = Rs. 384.20
    Therefore option d) 384.20 is correct.

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