What Is Lateral Area Formula? Formula - Cuemath

GradeKG1st2nd3rd4th5th6th7th8thPricingWhy Cuemath?About UsOur ImpactBlogsFAQsAlready booked a tutor?Book A FREE ClassGradeKG1st2nd3rd4th5th6th7th8thPricingWhy Cuemath?About UsOur ImpactBlogsFAQs Lateral Area Formula

The lateral area formula is used to find the lateral area of any solid object. The lateral area of any figure is the area of the non-base faces only. Lateral area formulas help in calculating the lateral surface area of different figures including cuboid, cube, cylinder, cone, and sphere. Let us see more about the lateral area formulas along with a few solved examples.

What Is the Lateral Area Formula?

The lateral area formula for different types of objects is different. Hence there are many lateral area formulas which are explained below. The lateral area does not include the base area of the object as well as the face parallel to the base. The lateral area formula for various objects are given in the tabular list below:

List of Lateral Area Formula

We measure the lateral surface area for 3-dimensional shapes. Given below is a detailed tabular list for you to understand the lateral surface area formula.

Shape	Lateral (curved) Surface Area
Cube	4(side)2
Cuboid	2height (length+ breadth)
Cone	πrl
Cylinder	2πrh
Hemisphere	2 π r2
Prism	base perimeter × height
Pyramid	(1/2) base Perimeter × slant height

Want to find complex math solutions within seconds? Use our free online calculator to solve challenging questions. With Cuemath, find solutions in simple and easy steps.

Book a Free Trial Class

Examples on Lateral Area Formula

Let us take a look at a few examples to understand the lateral area formula concept 

Example 1: The length, breadth, and height of a cuboid are 6 units, 2 units, and 16 units respectively. Calculate the lateral surface area of the cuboid. 

Solution:     

To find: Lateral formula of cuboid, length of the side of a cube Given: Length of cuboid = 6 units Breadth of cuboid = 2 units Height of cuboid = 16 units Lateral area of cube = Lateral area of a cuboid Using lateral area formula of cuboid, Lateral area of cuboid = 2(length + breadth) × height = 2( 6 + 2 ) × 16 = 256 units

Answer: Lateral area of cuboid = 256 units

Example 2: The radius of a sphere measures 4 units. This sphere is cut into two equal halves. Calculate the lateral surface areas of both objects by using the lateral area formula.

Solution:     

To find: Lateral surface area of sphere and hemisphere Given: Radius of the sphere and hemisphere = 4 units Using lateral area formula, Lateral area of sphere = 4πr2  = 4 × π × (4)2 = 201.142 square units Lateral/ curved surface area of hemisphere = 2πr2 = 2 × π × (4)2 = 100.571 square units

Answer: Lateral area of sphere = 201.142 square units, and Lateral/ curved surface area of hemisphere = 100.571 square units

Example 3: Find the lateral area of the cube using the lateral area formula whose side is 7 units.  

Solution:

To find: lateral area of a cube Given that: side of a cube = 7 units Using lateral area formula of cube = 4a2 = 4 * 7 * 7 = 196.

Answer: The lateral area of a cube is 196 square units.

FAQs on Lateral Area Formulas 

What Is the Lateral Area Formula of Cone?

The lateral area formula for cone is LSA = πrl. Where r is the radius of a cone, l is the slant height of the cone, and π (pi) is a constant term with a value of 3.14 or 22/7. 

What Is the Lateral Area Formula of Sphere?

The lateral surface area of sphere is expressed as LSA = 2πrh or 4πr2 (If a diameter of sphere = 2r). Where r is the radius of a sphere, h is the height of the sphere, and π (pi) is a constant term with a value of 3.14 or 22/7.

What Is the Lateral Area Formula of Cylinder?

The lateral surface area of cylinder is expressed as LSA = 2πrh. Where r is the radius of a circular base of the cylinder, h is the height of the cylinder, and π (pi) is a constant term with a value of 3.14 or 22/7.

What Is the Lateral Area Formula of Cuboid?

The lateral surface area of cuboid is expressed as LSA = 2h (l+b). Where l, b, and h are the length, breadth, and height of a cuboid.

Explore math programMath worksheets and visual curriculumBook A FREE ClassBecome MathFit™:Boost math skills with daily fun challenges and puzzles.Download the appSTRATEGY GAMESLOGIC PUZZLESMENTAL MATHBecome MathFit™:Boost math skills with daily fun challenges and puzzles.Download the appSTRATEGY GAMESLOGIC PUZZLESMENTAL MATHUS OfficeCueLearn Inc, 1013 Centre Road, Suite 403-B, Wilmington, Delaware 19805India OfficePlot No. F-17/5, Golf Course Rd, Sector 42, Gurugram, Haryana 122009US OfficeCueLearn Inc, 1013 Centre Road, Suite 403-B, Wilmington, Delaware 19805India OfficePlot No. F-17/5, Golf Course Rd, Sector 42, Gurugram, Haryana 122009Terms & conditionsPrivacy PolicyTerms & conditionsPrivacy PolicyABOUT CUEMATHAbout UsOur ImpactOur JourneyOur TutorsFAQsPricingABOUT CUEMATH+About UsOur ImpactOur JourneyOur TutorsFAQsPricingOUR PROGRAMSMath TutorsCueprepOUR PROGRAMS+Math TutorsCueprepRESOURCESBlogsMath PuzzlesMathFit™ 100 PuzzlesRESOURCES+BlogsMath PuzzlesMathFit™ 100 PuzzlesEVENTSMath FestsMath WebinarsEVENTS+Math FestsMath WebinarsMATH TUTORINGOnline Math ClassesOnline Math CoursesOnline Math TutorsMath TuitionMath Tutors IndiaMATH TUTORING+Online Math ClassesOnline Math CoursesOnline Math TutorsMath TuitionMath Tutors IndiaBecome MathFit™:Boost math skills with daily fun challenges and puzzles.Download the appSTRATEGY GAMESLOGIC PUZZLESMENTAL MATHBecome MathFit™:Boost math skills with daily fun challenges and puzzles.Download the appSTRATEGY GAMESLOGIC PUZZLESMENTAL MATHABOUT CUEMATHAbout UsOur ImpactOur JourneyOur TutorsFAQsPricingABOUT CUEMATH+About UsOur ImpactOur JourneyOur TutorsFAQsPricingOUR PROGRAMSMath TutorsCueprepOUR PROGRAMS+Math TutorsCueprepRESOURCESBlogsMath PuzzlesMathFit™ 100 PuzzlesRESOURCES+BlogsMath PuzzlesMathFit™ 100 PuzzlesEVENTSMath FestsMath WebinarsEVENTS+Math FestsMath WebinarsMATH TUTORINGOnline Math ClassesOnline Math CoursesOnline Math TutorsMath TuitionMath Tutors IndiaMATH TUTORING+Online Math ClassesOnline Math CoursesOnline Math TutorsMath TuitionMath Tutors IndiaUS OfficeCueLearn Inc, 1013 Centre Road, Suite 403-B, Wilmington, Delaware 19805India OfficePlot No. F-17/5, Golf Course Rd, Sector 42, Gurugram, Haryana 122009US OfficeCueLearn Inc, 1013 Centre Road, Suite 403-B, Wilmington, Delaware 19805India OfficePlot No. F-17/5, Golf Course Rd, Sector 42, Gurugram, Haryana 122009Terms & conditionsPrivacy PolicyTerms & conditionsPrivacy Policy