Lateral Surface Area of a Cuboid
Lateral Surface Area of a Cuboid
|
If out of the six faces of a cuboid, we only find the sum of the areas of four faces leaving the bottom and top faces. This sum is called the Lateral surface area of the cuboid. Consider a cuboid of the length l, breadth b, and height h Lateral surface area of the cuboid = Area of face ABGF + Area of face BCHG + Area of face EFGH + Area of face ADEF = 2(b x h) + 2(l x h) = 2(l + b) x h = Perimeter of base x height Note: Base of a cuboid is a rectangle. |
 |
Illustration: A cubical box has each edge 10cm and another cuboidal box is 12.5cm long, 10cm wide, and 8cm high. Which box has the greater lateral surface area and by how much?
Solution: Let the lateral surface areas of the cubical and cuboidal boxes be Area1 and Area2 respectively. Then, Area 1 = = 4 x 10 x 10 =
Area 2 = 2 (Length + Breadth) x Height = 2 (12.5 + 10) x 8 =
Area of cube is more than the area of cuboid = 400 - 360 =
Illustration: Find the area of the four walls of a room whose length is 6 m, breadth 5 m and height 4 m.Also find the cost of white-washing the walls, if the rate of whitewashing is Rs 5 per square metre.
Solution: Given: l = 6 m, b = 5 m, and h = 4 m
Area of the walls = 2h(l + b)
Cost of white washing of 1 square metre = Rs. 5
So, Cost of white washing the walls = Rs(5 X 88) = Rs 440
Find the lateral surface area of cuboid if length, breadth, and height are 80 cm, 40 cm, 20 cm respectively. | |||
| Right Option : B | |||
| View Explanation | |||
The length and breadth of a cuboidal box are 3 cm and 5 cm, respectively. If its lateral surface area is 60 cm sq, then the height of the box is equal to ______________ | |||
| Right Option : C | |||
| View Explanation | |||
The floor of a rectangular hall has a perimeter 250m. If the cost of painting the four walls at the rate of Rs.10 per sq m is Rs 15000, find the height of the wall. | |||
| Right Option : A | |||
| View Explanation | |||
Students / Parents Reviews [10]
My experience was very good with Abhyas academy. I am studying here from 6th class and I am satisfied by its results in my life. I improved a lot here ahead of school syllabus.
Ayan Ghosh
8thOne of the best institutes to develope a child interest in studies.Provides SST and English knowledge also unlike other institutes. Teachers are co operative and friendly online tests andPPT develope practical knowledge also.
Aman Kumar Shrivastava
10thIt has a great methodology. Students here can get analysis to their test quickly.We can learn easily through PPTs and the testing methods are good. We know that where we have to practice
Barkha Arora
10thMy experience with Abhyas academy is very good. I did not think that my every subject coming here will be so strong. The main thing is that the online tests had made me learn here more things.
Hiya Gupta
8thA marvelous experience with Abhyas. I am glad to share that my ward has achieved more than enough at the Ambala ABHYAS centre. Years have passed on and more and more he has gained. May the centre flourish and develop day by day by the grace of God.
Archit Segal
7thBeing a parent, I saw my daughter improvement in her studies by seeing a good result in all day to day compititive exam TMO, NSO, IEO etc and as well as studies. I have got a fruitful result from my daughter.
Prisha Gupta
8thI have spent a wonderful time in Abhyas academy. It has made my reasoning more apt, English more stronger and Maths an interesting subject for me. It has given me a habbit of self studying
Yatharthi Sharma
10thMy experience with Abhyas is very good. I have learnt many things here like vedic maths and reasoning also. Teachers here first take our doubts and then there are assignments to verify our weak points.
Shivam Rana
7thAbhyas Methodology is very good. It is based on according to student and each child manages accordingly to its properly. Methodology has improved the abilities of students to shine them in future.
Manish Kumar
10thAbhyas is a complete education Institute. Here extreme care is taken by teacher with the help of regular exam. Extra classes also conducted by the institute, if the student is weak.
