Total surface area of a cuboid
Total Surface Area of a Cuboid
Total Surface Area of a Cuboid:
Total surface area of cuboid= , where,
l is the length of cuboid, b is the breadth of cuboid and h is the height of the cuboid.
Illustration: An indoor greenhouse is made entirely of glass panes held together with tape. It is 30cm long, 25cm wide, and 25cm height. Find the area of the glass?
Solution: We have, Length=30cm, Breadth=25cm and Height=25cm
Area of glass = Total surface area of cuboid =
= 2 (30 x 25 + 25 x 25 + 30 x 25)
= 2(750 + 625 + 750)
=
Illustration: A plastic box 1.5 m long, 1.25 m wide and 65 cm deep is to be made. It is to be open at the top. Ignoring the thickness of the plastic sheet, determine:
(i) The area of the sheet required for making the box.
(ii) The cost of the sheet for it, if a sheet measuring costs Rs 20.
Solution: We have,
l = Length of plastic box = 1.5 m
b = Breradth of plastic box = 1.25 m
h = height of plastic box = 65 cm = 65/100 = 0.65 m
Total surface area of the plastic box = lb + 2(bh + hl)
=
Hence the area of the sheet required for making the box is
(ii) Since sheet costs Rs 20. Therefore,
Cost of sheet required for making the box = Area of the sheet X Rate per sq. metre
= Rs (5.45 X 20)
= Rs 109
If the length, breadth and height of a cuboid are 6 cm, 8 cm and 7 cm respectively, the total surface area of the cuboid is equal to : | |||
| Right Option : B | |||
| View Explanation | |||
Find the surface area of a slab of stone measuring 4 metres in length , 2 metres in width and 1/2 metres in thickness. | |||
| Right Option : D | |||
| View Explanation | |||
If the length, breadth and total surface area of a cuboid are 3 cm , 4 cm and 94 cm sq respectively, then the height of the cuboid is equal to : | |||
| Right Option : C | |||
| View Explanation | |||
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Prisha Gupta
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Aman Kumar Shrivastava
10thAbhyas institute is one of the best coaching institute in the vicinity of Ambala Cantt area. The teachers of the institute are well experienced and very helpful in solving the problems of the students.The good thing of the institute is that it is providing extra classes for the students who are w...
Aman Kumar Shrivastava
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Ayan Ghosh
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