अध्याय 13 · Class 9 UP Board · Free Worksheet PDF

Surface Areas & Volumes Sums for Class 9 — Free UP Board Worksheet PDF with Answers

Download a free printable surface areas & volumes worksheet for Class 9 UP Board with 30 practice questions covering surface areas & volumes 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 Surface Areas & Volumes Sums for Class 9 — Practice Questions

Here are 8 sample surface areas & volumes sums from this Class 9 UP Board worksheet. Download the full PDF for all 30 questions with answers.

Q1.एक घन की भुजा 5 cm है। इसका आयतन ज्ञात कीजिए।
A.25 cm325 \text{ cm}^3
B.125 cm3125 \text{ cm}^3
C.150 cm3150 \text{ cm}^3
D.100 cm3100 \text{ cm}^3

Difficulty: Easy

Q2.एक घनाभ की लंबाई 10 cm, चौड़ाई 5 cm और ऊँचाई 3 cm है। इसका पार्श्व पृष्ठीय क्षेत्रफल क्या होगा?
A.150 cm2150 \text{ cm}^2
B.90 cm290 \text{ cm}^2
C.120 cm2120 \text{ cm}^2
D.180 cm2180 \text{ cm}^2

Difficulty: Easy

Q3.एक बेलन के आधार की त्रिज्या 7 cm और ऊँचाई 10 cm है। इसका आयतन ज्ञात कीजिए। (π=227\pi = \frac{22}{7} का प्रयोग करें)
A.1540 cm31540 \text{ cm}^3
B.440 cm3440 \text{ cm}^3
C.770 cm3770 \text{ cm}^3
D.220 cm3220 \text{ cm}^3

Difficulty: Easy

Q4.एक शंकु के आधार की त्रिज्या 3 cm और ऊँचाई 4 cm है। इसकी तिर्यक ऊँचाई कितनी होगी?
A.5 cm5 \text{ cm}
B.7 cm7 \text{ cm}
C.25 cm25 \text{ cm}
D.12 cm12 \text{ cm}

Difficulty: Easy

Q5.एक गोले की त्रिज्या 7 cm है। इसका पृष्ठीय क्षेत्रफल ज्ञात कीजिए। (π=227\pi = \frac{22}{7} का प्रयोग करें)
A.154 cm2154 \text{ cm}^2
B.308 cm2308 \text{ cm}^2
C.616 cm2616 \text{ cm}^2
D.462 cm2462 \text{ cm}^2

Difficulty: Easy

Q6.एक अर्धगोले की त्रिज्या 3 cm है। इसका आयतन ज्ञात कीजिए। (π=3.14\pi = 3.14 का प्रयोग करें)
A.56.52 cm356.52 \text{ cm}^3
B.18.84 cm318.84 \text{ cm}^3
C.37.68 cm337.68 \text{ cm}^3
D.113.04 cm3113.04 \text{ cm}^3

Difficulty: Easy

Q7.यदि एक घन की प्रत्येक भुजा 6 cm है, तो उसका कुल पृष्ठीय क्षेत्रफल कितना होगा?
A.36 cm236 \text{ cm}^2
B.216 cm2216 \text{ cm}^2
C.108 cm2108 \text{ cm}^2
D.144 cm2144 \text{ cm}^2

Difficulty: Easy

Q8.एक बेलनाकार स्तंभ का व्यास 14 cm और ऊँचाई 5 cm है। इसका वक्र पृष्ठीय क्षेत्रफल ज्ञात कीजिए। (π=227\pi = \frac{22}{7} का प्रयोग करें)
A.220 cm2220 \text{ cm}^2
B.440 cm2440 \text{ cm}^2
C.110 cm2110 \text{ cm}^2
D.70 cm270 \text{ cm}^2

Difficulty: Easy

Answer Key — Sample Questions+
Q1:$125 \text{ cm}^3$
Q2:$90 \text{ cm}^2$
Q3:$1540 \text{ cm}^3$
Q4:$5 \text{ cm}$
Q5:$616 \text{ cm}^2$
Q6:$56.52 \text{ cm}^3$
Q7:$216 \text{ cm}^2$
Q8:$220 \text{ cm}^2$

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

About This Worksheet

TopicSurface Areas & Volumes
BoardUP Board
Class9
Total Questions30 (10 Easy + 10 Medium + 10 Hard)
Answer KeyIncluded
PriceFree

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Frequently Asked Questions

Where can I download free surface areas & volumes sums for Class 9?+
You can download a free Surface Areas & Volumes PDF worksheet for Class 9 UP Board right here on SparkEd. The worksheet includes 30 practice questions (surface areas & volumes concepts, practice problems, and word problems with step-by-step solutions) at easy, medium, and hard levels with a complete answer key.
How many surface areas & volumes questions are in this Class 9 worksheet?+
This SparkEd worksheet for Surface Areas & Volumes Class 9 contains 30 questions — 10 easy, 10 medium, and 10 hard. The questions cover surface areas & volumes 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 Surface Areas & Volumes worksheet for Class 9 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 surface areas & volumes worksheet aligned to UP Board syllabus?+
Yes. This worksheet is specifically designed for Class 9 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 Surface Areas & Volumes 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 surface areas & volumes 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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