Class 9 Maths: Surface Areas and Volumes Worksheet

How this worksheet helps your child

• Builds confidence in core Mathematics concepts taught in Class 9 through repeated, varied practice.
• Aligned to CBSE and NCERT — questions mirror the pattern children see in school tests and unit assessments.
• Comes with an answer key so parents and students can self-check in minutes, without needing a teacher.
• Pitched at easy level — use it for daily homework, weekend revision or quick exam warm-ups.

About this worksheet

Welcome to our Class 9 Maths: Surface Areas and Volumes Practice Worksheet, specifically designed to help students master fundamental concepts of three-dimensional shapes. This resource is perfect for Class 9 students following the CBSE curriculum, offering a straightforward approach to understanding how to calculate surface areas and volumes of common geometric solids. Mastering these concepts is crucial as they form the bedrock for more advanced geometry in higher classes and have practical applications in various real-world scenarios, from construction to packaging design. This worksheet is ideal for students seeking to reinforce their basic understanding of formulas and practice simple calculations involving cuboids, cubes, cylinders, cones, and spheres. It serves as an excellent tool for self-practice, homework assignments, or supplementary material for classroom teaching, ensuring that students develop a strong foundation in this important mathematical topic in line with NCERT guidelines.

What your child will learn

• Practice calculating the surface area of cuboids and cubes.
• Apply formulas to find the volume of cylinders and cones.
• Solve problems involving the surface area and volume of spheres.
• Recognise the appropriate formula for different three-dimensional shapes.
• Identify the dimensions required for surface area and volume calculations.

Understanding the concept

Surface Area and Volume are two fundamental measurements for three-dimensional objects. Imagine you have a gift box; the amount of wrapping paper needed to cover it completely is its surface area. It's like measuring the total area of all the faces of the box. On the other hand, the volume of the same gift box tells us how much space is inside it, or how many small chocolates it can hold. It's the measure of the three-dimensional space occupied by an object. For example, a cuboid is a box-like shape, and its surface area is the sum of the areas of its six rectangular faces. Its volume is found by multiplying its length, width, and height. A cylinder is like a can, and its surface area involves the area of its two circular bases and its curved side surface. Its volume is the area of its circular base multiplied by its height. Similarly, cones and spheres each have specific formulas to calculate their surface areas and volumes, taking into account their unique shapes and dimensions. This worksheet encourages students to understand and correctly apply these specific formulas to different objects.

Tips for parents & teachers

• Encourage your child to visualise the 3D shapes before applying formulas.
• Review each formula with your child before they start solving the problems.
• Have your child verify their answers by re-calculating or using a different method if possible.
• Discuss real-life examples where surface area and volume calculations are used.
• Break down complex problems into smaller, manageable steps for easier understanding.

Topics covered

How to use this worksheet at home

Open the print view and use your browser's Print dialog to print on regular A4 paper or save as a PDF. Hand the printed sheet to your child (Class 9) and set a relaxed time limit — 15 to 25 minutes works for most Mathematics worksheets. When they're done, open the "With answer key" view and let them self-mark question by question. Re-print as many times as you need; the file never expires and there's no download limit.

Frequently asked questions

Is this Mathematics worksheet really free?

Yes — every workbook on WorkbookWala is 100% free to download and print. No login, no email, no paywall. We're free for students, parents and teachers.

Is it aligned to the CBSE / NCERT syllabus?

Yes. All Class 9 worksheets are built around the CBSE and NCERT pattern so they map cleanly to what your child is studying in school.

Can I print this worksheet at home?

Yes. Click "Open print view" and use your browser's Print dialog to print on standard A4 paper, or save it as a PDF for later. The layout is designed to fit cleanly without scaling.

Does it include an answer key?

Yes — click "With answer key" to print a version with answers included, so parents and students can self-mark in minutes.