Chapter 14 · Class 8 CBSE · Free Worksheet PDF
Mensuration (Area & Volume) Sums for Class 8 — Free CBSE Worksheet PDF with Answers
Download a free printable mensuration (area & volume) worksheet for Class 8 CBSE with 30 practice questions covering mensuration (area & volume) concepts, practice problems, and word problems with step-by-step solutions. Includes complete answer key. CBSE-aligned for the 2025-26 syllabus.
Last updated: 5 May 2026
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30 questions (Easy + Medium + Hard) with answer key. Fresh set generated daily.
Sample Mensuration (Area & Volume) Sums for Class 8 — Practice Questions
Here are 8 sample mensuration (area & volume) sums from this Class 8 CBSE worksheet. Download the full PDF for all 30 questions with answers.
Q1.Ravi is trying to explain the formula for the area of a trapezium. He says, "The formula A = 1/2 × h × (a + b) works because a trapezium can be thought of as a rectangle with base (a+b)/2 and height h." Which of the following statements about Ravi's reasoning is true?
A.Ravi's explanation is incorrect because a trapezium cannot be simplified to a rectangle.
B.Ravi's explanation is correct and accurately describes the geometric intuition behind the formula.
C.Ravi's explanation is partially correct, but it should be A = h × (a + b) not 1/2 × h × (a + b).
D.Ravi's explanation is incorrect; the formula involves dividing the trapezium into two triangles.
Difficulty: Easy
Q2.A regular hexagon has a side length of 6 cm. If it is divided into two identical trapeziums and one rectangle, what information is essential to calculate its area using this method?
A.Only the side length of the hexagon is required.
B.The side length of the hexagon and the apothem (distance from center to midpoint of a side).
C.The side length of the hexagon, and the height of the trapeziums formed.
D.The side length of the hexagon and the perimeter of the hexagon.
Difficulty: Easy
Q3.Which of the following statements is TRUE regarding the surface area of a solid cube?
A.If a cube is cut into two identical cuboids, the total surface area of the two cuboids remains the same as the original cube.
B.The total surface area of a cube is the sum of the areas of its six faces.
C.The surface area of a cube is always equal to its volume.
D.If the side length of a cube is doubled, its surface area also doubles.
Difficulty: Easy
Q4.A farmer has a field in the shape of a quadrilateral ABCD. The diagonal AC is 24 m. The perpendiculars from B and D to AC are 8 m and 13 m respectively. What is the area of the field?
A.144 m²
B.216 m²
C.252 m²
D.336 m²
Difficulty: Easy
Q5.A cuboid has a length of 10 cm, a breadth of 5 cm, and a height of 4 cm. If its length is doubled and its height is halved, how does the new volume compare to the original volume?
A.The new volume is four times the original volume.
B.The new volume is half the original volume.
C.The new volume is double the original volume.
D.The new volume remains the same as the original volume.
Difficulty: Easy
Q6.Which of the following correctly describes the components used to calculate the Total Surface Area (TSA) of a closed cylinder?
A.Only the area of the curved surface.
B.The sum of the area of one circular base and the curved surface area.
C.The sum of the areas of the two circular bases and the curved surface area.
D.The sum of the areas of the two circular bases only.
Difficulty: Easy
Q7.A farmer measures his rectangular field as 50 meters long and 30 meters wide. He wants to know the area of his field. Which unit should he use for the area?
A.meters (m)
B.square meters (m²)
C.cubic meters (m³)
D.hectares (ha)
Difficulty: Easy
Q8.A large rectangular box has inner dimensions of 60 cm length, 40 cm width, and 30 cm height. How many small cubic boxes, each with a side length of 10 cm, can be packed inside the large box?
A.12
B.24
C.72
D.100
Difficulty: Easy
Answer Key — Sample Questions+
Q1:Ravi's explanation is correct and accurately describes the geometric intuition behind the formula.
Q2:The side length of the hexagon, and the height of the trapeziums formed.
Q3:The total surface area of a cube is the sum of the areas of its six faces.
Q4:252 m²
Q5:The new volume is double the original volume.
Q6:The sum of the areas of the two circular bases and the curved surface area.
Q7:square meters (m²)
Q8:72
Download the full PDF for all 30 answers with step-by-step solutions.
About This Worksheet
| Topic | Mensuration (Area & Volume) |
|---|---|
| Board | CBSE |
| Class | 8 |
| Total Questions | 30 (10 Easy + 10 Medium + 10 Hard) |
| Answer Key | Included |
| Price | Free |
Related Worksheets — Class 8 CBSE
Frequently Asked Questions
Where can I download free mensuration (area & volume) sums for Class 8?+
You can download a free Mensuration (Area & Volume) PDF worksheet for Class 8 CBSE right here on SparkEd. The worksheet includes 30 practice questions (mensuration (area & volume) concepts, practice problems, and word problems with step-by-step solutions) at easy, medium, and hard levels with a complete answer key.
How many mensuration (area & volume) questions are in this Class 8 worksheet?+
This SparkEd worksheet for Mensuration (Area & Volume) Class 8 contains 30 questions — 10 easy, 10 medium, and 10 hard. The questions cover mensuration (area & volume) concepts, practice problems, and word problems with step-by-step solutions. A fresh set is generated daily so students never repeat the same sheet.
Does the Mensuration (Area & Volume) worksheet for Class 8 include answers?+
Yes! Every SparkEd worksheet comes with a complete answer key. Students can self-check their work after completing the sheet. The PDF is free to download and print.
Is this mensuration (area & volume) worksheet aligned to CBSE syllabus?+
Yes. This worksheet is specifically designed for Class 8 CBSE students and aligned to the 2025-26 CBSE syllabus. All questions follow the CBSE exam pattern and difficulty level.
Can I print this Mensuration (Area & Volume) worksheet?+
Absolutely! The worksheet downloads as an A4-size PDF that is ready to print. It includes the questions, space for working, and a separate answer key — perfect for classroom use or home practice.
How is this worksheet different from NCERT textbook exercises?+
SparkEd worksheets go beyond NCERT exercises by providing 30 questions at 3 progressive difficulty levels. Level 1 (Easy) builds confidence, Level 2 (Medium) tests application, and Level 3 (Hard) prepares for exams. Each worksheet includes word problems and conceptual questions, not just computation.
Does this worksheet include mensuration (area & volume) word problems?+
Yes! The worksheet includes both computation-based questions and real-world word problems. Word problems are especially important for CBSE exams, and our worksheet covers a variety of scenarios to build problem-solving skills.
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