अध्याय 14 · Class 8 UP Board · Free Worksheet PDF

Mensuration (Area & Volume) Sums for Class 8 — Free UP Board Worksheet PDF with Answers

Download a free printable mensuration (area & volume) worksheet for Class 8 UP Board with 30 practice questions covering mensuration (area & volume) concepts, practice problems, and word problems with step-by-step solutions. Includes complete answer key. UP Board-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.

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Sample Mensuration (Area & Volume) Sums for Class 8 — Practice Questions

Here are 8 sample mensuration (area & volume) sums from this Class 8 UP Board worksheet. Download the full PDF for all 30 questions with answers.

Q1.एक समलंब चतुर्भुज की समांतर भुजाएँ 10 cm और 12 cm हैं तथा उनके बीच की लंबवत दूरी 5 cm है। समलंब चतुर्भुज का क्षेत्रफल ज्ञात कीजिए।
A.50 वर्ग cm
B.55 वर्ग cm
C.60 वर्ग cm
D.110 वर्ग cm

Difficulty: Easy

Q2.एक घन की प्रत्येक भुजा 7 cm है। उसका पृष्ठीय क्षेत्रफल क्या होगा?
A.49 वर्ग cm
B.294 वर्ग cm
C.343 वर्ग cm
D.245 वर्ग cm

Difficulty: Easy

Q3.एक घनाभ की लंबाई 10 cm, चौड़ाई 5 cm और ऊँचाई 3 cm है। घनाभ का आयतन क्या होगा?
A.150 वर्ग cm
B.150 घन cm
C.50 घन cm
D.30 घन cm

Difficulty: Easy

Q4.एक बेलन के आधार की त्रिज्या 7 cm और ऊँचाई 10 cm है। बेलन का आयतन ज्ञात कीजिए। (π=22/7\pi = 22/7 का प्रयोग करें)
A.1540 घन cm
B.440 घन cm
C.220 घन cm
D.770 घन cm

Difficulty: Easy

Q5.एक बेलन के आधार की त्रिज्या 3.5 cm और ऊँचाई 10 cm है। बेलन का वक्र पृष्ठीय क्षेत्रफल ज्ञात कीजिए। (π=22/7\pi = 22/7 का प्रयोग करें)
A.110 वर्ग cm
B.220 वर्ग cm
C.385 वर्ग cm
D.770 वर्ग cm

Difficulty: Easy

Q6.एक वर्ग के आकार के खेत की एक भुजा 20 मीटर है। इस खेत का क्षेत्रफल क्या होगा?
A.40 वर्ग मीटर
B.80 वर्ग मीटर
C.400 वर्ग मीटर
D.200 वर्ग मीटर

Difficulty: Easy

Q7.एक आयताकार कमरे की लंबाई 8 मीटर, चौड़ाई 6 मीटर और ऊँचाई 3 मीटर है। कमरे की चारों दीवारों का क्षेत्रफल क्या होगा?
A.48 वर्ग मीटर
B.42 वर्ग मीटर
C.84 वर्ग मीटर
D.144 वर्ग मीटर

Difficulty: Easy

Q8.एक बेलनाकार टंकी की धारिता 1540 घन मीटर है और उसके आधार की त्रिज्या 7 मीटर है। टंकी की ऊँचाई ज्ञात कीजिए। (π=22/7\pi = 22/7 का प्रयोग करें)
A.10 मीटर
B.7 मीटर
C.5 मीटर
D.14 मीटर

Difficulty: Easy

Answer Key — Sample Questions+
Q1:55 वर्ग cm
Q2:294 वर्ग cm
Q3:150 घन cm
Q4:1540 घन cm
Q5:220 वर्ग cm
Q6:400 वर्ग मीटर
Q7:84 वर्ग मीटर
Q8:10 मीटर

Download the full PDF for all 30 answers with step-by-step solutions.

About This Worksheet

TopicMensuration (Area & Volume)
BoardUP Board
Class8
Total Questions30 (10 Easy + 10 Medium + 10 Hard)
Answer KeyIncluded
PriceFree

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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 UP Board 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 UP Board syllabus?+
Yes. This worksheet is specifically designed for Class 8 UP Board students and aligned to the 2025-26 UP Board syllabus. All questions follow the UP Board 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 UP Board exams, and our worksheet covers a variety of scenarios to build problem-solving skills.

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