Lateral Surface Area of a Cuboid

Here we will learn how to solve the application problems on lateral surface area of a cuboid using the formula.


Formula for finding the lateral surface area of a cuboid

Area of a Rooms is example of cuboids.

Are of the four walls of a room = sum of the four vertical (or lateral) faces

                                             = 2(l + b)h

Where l = Length, b = breadth and h = height. 

Therefore, lateral surface area of a cuboid = 2(l + b)h

Problems on Lateral Surface Area of a Cuboid:

The dimensions of a cubical room are 8.6 m × 5.4 m × 4 m. The room has two doors each measuring 2 m by 1 m and four windows each measuring 1 m by 1 m. What will be the cost of plastering the four walls and the ceiling at RS 65 per m2?

Solution:

Dimensions of a Cubical Room

The total area of the four walls

                                        = Lateral surface area of the cuboid

                                        = 2(l + b)h

                                        = 2(86 + 5.4) × 4 m2

                                        = 112 m2.

The area of the ceiling = l × b

                                 = 8.6 × 5.4 m2

                                 = 46.44 m2

The sum of the areas of the two doors and the four windows

                                                    = 2(2 × 1) m2 + 4(1 × 1) m2

                                                    = 8 m2

Therefore, the total area to be plastered = (112 + 46.44 - 8) m2

                                                           = 150.44 m2

Therefore, the cost of plastering = 150.44 × Rs. 65

                                               = Rs. 9778.60.







9th Grade Math

From Lateral Surface Area of a Cuboid to HOME PAGE




Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.



New! Comments

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.




Share this page: What’s this?

Recent Articles

  1. BODMAS Rule | Order of Operation | Definition, Examples, Problems

    Mar 27, 25 03:02 AM

    Easy and simple way to remember BODMAS rule!! B → Brackets first (parentheses) O → Of (orders i.e. Powers and Square Roots, Cube Roots, etc.) DM → Division and Multiplication

    Read More

  2. 5th Grade Math Worksheets | 5th Grade Homework Sheets | Math Worksheet

    Mar 27, 25 02:46 AM

    5th grade math worksheets is carefully planned and thoughtfully presented on mathematics for the students. Teachers and parents can also follow the worksheets to guide the students.

    Read More

  3. 5th Grade Relation Between HCF and LCM | Solved Examples | Worksheet

    Mar 27, 25 02:34 AM

    Here we will discuss about the relationship between hcf and lcm of two numbers. Product of two numbers = Product of H.C.F. and L.C.M. of the numbers. Solved Examples on 5th Grade Relation Between HCF…

    Read More

  4. 5th Grade Word Problems on H.C.F. and L.C.M. | Worksheet with Answers

    Mar 27, 25 02:33 AM

    L.C.M. of 8, 24 and 32 by Long Division Method
    Here we will solve different types of word Problems on H.C.F. and L.C.M. Find the smallest number which when divided by 8, 24 and 32 when leaves 7 as remainder in each. 1. Find the lowest number which…

    Read More

  5. Divisible by 3 | Test of Divisibility by 3 |Rules of Divisibility by 3

    Mar 26, 25 11:08 AM

    Divisible by 3
    A number is divisible by 3, if the sum of its all digits is a multiple of 3 or divisibility by 3. Consider the following numbers to find whether the numbers are divisible or not divisible by 3: (i) 54…

    Read More