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Updated on 24 Oct 2025, 15:46 IST
CBSE Class 8 Maths Mensuration Worksheet — an exam-oriented Class 8 Maths Chapter 11 worksheet covering 2D and 3D shapes, step-wise word problems, and all formulas at one place. This handpicked practice set focuses on the area of a trapezium/parallelogram, circumference & area of a circle, and the surface area of a cylinder/cone/sphere with volume of a cuboid/cube/right circular cylinder. Each section mirrors school test difficulty to improve speed, accuracy, and formula recall—ideal for daily practice and pre-exam revision.
Before starting, download the CBSE Class 8 Maths worksheet with answers (PDF). The file includes extra questions, MCQs, and a full answer key for self-assessment, plus a crisp Class 8 mensuration formula sheet for 2D and 3D shapes. Prefer learning first? Scroll for a complete formula recap followed by step-by-step solved examples and exam-style word problems aligned with Chapter 11 Mensuration.
Looking for mensuration Class 8 all formulas at one place? Here’s your complete, easy-to-revise guide for CBSE Class 8 Maths Syllabus Chapter 11 – Mensuration. This section includes every important area of 2D shapes formula and volume and surface area formula for 3D figures — neatly summarized for fast exam revision and daily practice.
Whether you’re preparing for a school test or completing your Class 8 Maths Chapter 11 worksheet, these formulas will help you solve word problems on 2D and 3D shapes confidently. Bookmark this section or print it along with your mensuration Class 8 worksheet with answers PDF for quick access.
| Shape | Area Formula | Perimeter Formula |
| Trapezium | ½ × (sum of parallel sides) × height | Sum of all sides |
| Rhombus | ½ × (product of diagonals) | 4 × side |
| General Quadrilateral | ½ × diagonal × (sum of perpendiculars from opposite vertices) | Sum of all sides |
| Rectangle | Length × Breadth | 2 × (Length + Breadth) |
| Square | Side² | 4 × Side |
| Circle | πr² | 2πr |
| Shape | Lateral Surface Area (LSA) | Total Surface Area (TSA) | Volume |
| Cube | 4a² | 6a² | a³ |
| Cuboid | 2h(l + b) | 2(lb + bh + hl) | l × b × h |
| Cylinder | 2πrh | 2πr(h + r) | πr²h |
These formulas for Chapter 11 Class 8 Maths help you solve both direct formula-based and word problems in mensuration. Keep practicing similar questions from your CBSE Class 8 Maths Mensuration Worksheet to strengthen accuracy and formula retention.
Learn how to calculate the area of 2D shapes with simple step-by-step examples from Class 8 Mensuration Chapter 11. This section focuses on formulas for the area of trapezium, area of rhombus, and area of quadrilaterals — all part of the CBSE Class 8 Maths Mensuration Worksheet. Each solved problem helps you understand how to apply these formulas correctly in school tests and worksheets.
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The area of a trapezium can be found using the formula:
Area = ½ × (sum of parallel sides) × height
Here, the two parallel sides are known as the “bases,” and the perpendicular distance between them is the height.
Example: Find the area of a trapezium whose parallel sides are 10 cm and 12 cm, and the distance between them is 5 cm.
Final Answer: The area of the trapezium is 55 cm².
The area of a rhombus is calculated using its diagonals. The formula is:
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Area = ½ × d₁ × d₂
where d₁ and d₂ are the lengths of the diagonals. This method is often used in the area of rhombus Class 8 worksheet because diagonals are usually given in questions.
Example: Find the area of a rhombus whose diagonals are 8 cm and 6 cm.
Final Answer: The area of the rhombus is 24 cm².
For an irregular quadrilateral or polygon, the figure can be divided into smaller shapes such as triangles or trapeziums. The total area is obtained by adding the areas of all these smaller parts.
Example: Find the area of a pentagonal field divided into a triangle and a trapezium.
Final Answer: The total area of the pentagonal field is 65 m². Such questions frequently appear in the area of quadrilateral Class 8 worksheet and worksheet on area of polygons to test conceptual understanding.
Practice more examples from your CBSE Class 8 Mensuration Worksheet to master these formulas and improve accuracy in exams.
Understanding the surface area and volume of 3D shapes is a key part of Class 8 Mensuration Chapter 11. This section covers the surface area of cube and cuboid, volume of cube, and surface area of cylinder with detailed formulas and solved word problems. Each concept explains the difference between Lateral Surface Area (LSA) and Total Surface Area (TSA)—important for both theory and application in the CBSE Class 8 Mensuration Worksheet.
A cube and cuboid are rectangular solids. The cube has all sides equal, while the cuboid has different length, breadth, and height. Let’s understand their surface area and volume formulas.
| Shape | Lateral Surface Area (LSA) | Total Surface Area (TSA) | Volume |
| Cube (side = a) | 4a² | 6a² | a³ |
| Cuboid (length = l, breadth = b, height = h) | 2h(l + b) | 2(lb + bh + hl) | l × b × h |
Example: Find the cost of painting the four walls of a cuboid room of 8 m length, 6 m breadth, and 4 m height at ₹15 per m².
Answer: The cost of painting the four walls is ₹1680.
A cylinder is a 3D solid with two circular ends and a curved surface. The Curved Surface Area (CSA)—also known as Lateral Surface Area (LSA)—is the area of the curved part only, while the Total Surface Area (TSA) includes both the curved surface and the two circular ends.
| Quantity | Formula |
| Curved Surface Area (CSA) | 2πrh |
| Total Surface Area (TSA) | 2πr(h + r) |
| Volume | πr²h |
Example: A road roller has a radius of 0.7 m and a length (height) of 1 m. How much area does it cover in one full revolution?
Answer: The road roller covers 4.396 m² of area in one full revolution.
Understanding the difference between CSA, TSA, and Volume helps solve practical mensuration word problems from the surface area of cylinder Class 8 worksheet. Regular practice ensures accuracy in applying formulas during CBSE exams.
Each Mensuration problem is designed in an exam-style format with step-by-step explanations to help you master formula applications, units, and real-life problem-solving techniques. These examples are taken directly from our free PDF worksheet download for Chapter 11: Mensuration.
Question: Find the area of a trapezium whose parallel sides are 10 cm and 14 cm, and the distance (height) between them is 8 cm.
Formula: Area = ½ × (sum of parallel sides) × height
Answer: The area of the trapezium is 96 cm².
Question: The volume of a cuboid is 960 cm³. If the length and breadth of the cuboid are 12 cm and 8 cm respectively, find its height.
Formula: Volume of cuboid = length × breadth × height
Answer: The height of the cuboid is 10 cm.
Question: The volume of a cylindrical water tank is 4,400 cm³. If the radius of the base is 7 cm, find the height of the tank. (Use π = 22/7)
Formula: Volume of cylinder = πr²h
Answer: The height of the cylinder is approximately 28.6 cm.
The cost of fencing a rectangular garden at Rs 15 per meter is Rs 5400. If the length of the garden is 100 m, then the breadth is:
(A) 80 m
(B) 90 m
(C) 85 m
(D) 95 m
A rectangular park is 45 m long and 30 m wide. A path of uniform width runs around and inside the park. If the area of the path is 234 sq. m and its width is 2 m, the area of the park excluding the path is:
(A) 1116 sq. m
(B) 1350 sq. m
(C) 1200 sq. m
(D) 1056 sq. m
The sum of length, breadth and height of a cuboid is 19 cm and its diagonal is 5√5 cm. Find its surface area:
(A) 236 cm²
(B) 256 cm²
(C) 361 cm²
(D) 486 cm²
The area of a rhombus is 150 cm² and one of its diagonals is 10 cm. The perimeter of the rhombus is:
(A) 52 cm
(B) 60 cm
(C) 68 cm
(D) 72 cm
If the radius of a circle is increased by 50%, then the area of the circle increases by:
(A) 50%
(B) 100%
(C) 125%
(D) 150%
A circular wire of radius 21 cm is cut and bent into the form of a rectangle whose length is twice its breadth. The breadth of the rectangle is:
(A) 14 cm
(B) 21 cm
(C) 28 cm
(D) 35 cm
A goat is tied to one corner of a square field of side 12 m with a rope 7 m long. The area over which the goat can graze is:
(A) 77/2 m²
(B) 154 m²
(C) 77/4 m²
(D) 38.5 m²
The diagonal of a square is 10√2 cm. Find the length of the side of the square:
(A) 5 cm
(B) 10 cm
(C) 15 cm
(D) 20 cm
The area of a trapezium shaped field is 480 m². The distance between the two parallel sides is 15 m. If one of the parallel sides is 20 m, the other parallel side is:
(A) 44 m
(B) 42 m
(C) 40 m
(D) 36 m
A wire in the form of a square encloses an area of 121 sq. cm. If the same wire is bent to form a circle, the area of the circle will be:
(A) 154 cm²
(B) 144 cm²
(C) 132 cm²
(D) 140 cm²
Two cubes each of edge 6 cm are joined face to face. The surface area of the resulting cuboid is:
(A) 216 cm²
(B) 360 cm²
(C) 432 cm²
(D) 252 cm²
A cylindrical tank has radius 7 m and height 10 m. How many liters of water can it hold? (1 m³ = 1000 liters)
(A) 1540 liters
(B) 15400 liters
(C) 154000 liters
(D) 1540000 liters
The total surface area of a cube is 294 cm². Find the volume of the cube:
(A) 343 cm³
(B) 216 cm³
(C) 512 cm³
(D) 729 cm³
A sphere and a cube have the same surface area. The ratio of the volume of the sphere to that of the cube is:
(A) √6 : √π
(B) √π : √6
(C) π : 6
(D) 6 : π
A parallelogram and a rectangle stand on the same base and between the same parallels. The ratio of their areas is:
(A) 1 : 2
(B) 2 : 1
(C) 1 : 1
(D) 3 : 2
From a rectangular sheet of dimensions 30 cm × 20 cm, a circular piece of radius 3.5 cm is cut out. The area of the remaining sheet is:
(A) 561.5 cm²
(B) 600 cm²
(C) 638.5 cm²
(D) 650 cm²
The area of a triangle is 96 cm² and the ratio of its base to the corresponding height is 4 : 3. The length of the base is:
(A) 8 cm
(B) 12 cm
(C) 16 cm
(D) 24 cm
A cylindrical pillar has diameter 56 cm and height 4 m. The cost of painting the curved surface at Rs 12 per m² is:
(A) Rs 84.48
(B) Rs 844.80
(C) Rs 8448
(D) Rs 84480
If the radius of a sphere is doubled, then its volume becomes:
(A) 2 times
(B) 4 times
(C) 6 times
(D) 8 times
A road roller has a diameter of 0.7 m and length 1.2 m. How much area will it cover in 50 complete revolutions?
(A) 132 m²
(B) 264 m²
(C) 66 m²
(D) 330 m²
The perimeter of a semicircular protractor is 72 cm. Find its diameter:
(A) 14 cm
(B) 28 cm
(C) 21 cm
(D) 35 cm
A rectangular water tank is 5 m long, 3 m wide and 2 m high. How much water can it hold?
(A) 10 m³
(B) 15 m³
(C) 20 m³
(D) 30 m³
The areas of three adjacent faces of a cuboid are 12 cm², 20 cm² and 15 cm². The volume of the cuboid is:
(A) 60 cm³
(B) 120 cm³
(C) 180 cm³
(D) 240 cm³
The circumference of the base of a cylinder is 132 cm and its height is 25 cm. The volume of the cylinder is:
(A) 34650 cm³
(B) 69300 cm³
(C) 17325 cm³
(D) 8662.5 cm³
A square and an equilateral triangle have equal perimeters. If the diagonal of the square is 12√2 cm, the area of the triangle is:
(A) 24√3 cm²
(B) 48√3 cm²
(C) 64√3 cm²
(D) 32√3 cm²
(A) 80 m
(D) 1056 sq. m
(A) 236 cm²
(C) 68 cm
(C) 125%
(A) 14 cm
(D) 38.5 m²
(B) 10 cm
(A) 44 m
(A) 154 cm²
(B) 360 cm²
(C) 154000 liters
(A) 343 cm³
(B) √π : √6
(C) 1 : 1
(A) 561.5 cm²
(C) 16 cm
(A) Rs 84.48
(D) 8 times
(A) 132 m²
(B) 28 cm
(D) 30 m³
(A) 60 cm³
(A) 34650 cm³
(C) 64√3 cm²
Continue your Class 8 Maths practice with more topic-wise worksheets and solved examples. Explore related chapters below:
Each worksheet includes extra questions, important formulas, and answer keys designed as per the CBSE Class 8 syllabus. Practice them all to strengthen your conceptual understanding and exam readiness.
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The Lateral Surface Area (LSA) refers to the area of only the side faces of a 3D object, excluding the top and bottom. For example, in a cuboid room, the LSA represents the area of the four walls only. The Total Surface Area (TSA), on the other hand, includes all faces—sides, top, and bottom. Using the same example, the TSA would include the four walls, ceiling, and floor.
Volume measures the amount of space a solid object occupies, while Capacity measures how much fluid a container can hold. Although both are related, they differ in context—volume is used for solids, and capacity for liquids.
For example: - The volume of a box tells you the total space inside. - The capacity of a bottle tells you how much liquid it can contain.
The conversion between the two is: 1 Litre = 1000 cm³
This concept frequently appears in Mensuration Class 8 word problems worksheets where students calculate water tank capacities or box volumes.
The Mensuration Class 8 formulas are divided into two main parts — for 2D shapes and 3D solids.
To find the area of a general quadrilateral, draw one diagonal to divide the shape into two triangles. Then, measure the perpendicular heights from the opposite vertices to this diagonal.
The total area is the sum of the areas of both triangles: Area = ½ × diagonal × (sum of perpendicular heights)
Example: If the diagonal of a quadrilateral is 10 cm, and the perpendiculars from the opposite vertices are 6 cm and 4 cm, then: Area = ½ × 10 × (6 + 4) = ½ × 10 × 10 = 50 cm².
This question type is a regular feature in the area of quadrilateral Class 8 worksheet and helps strengthen geometric understanding.