Mathematics
Surface Area Worksheet PDF - Class 9 Practice for Cube, Cuboid and Cylinder
Curved, lateral and total surface area problems for quick revision
Six activities covering surface area formulas for cubes, cuboids, cylinders, cones and spheres, moving from quick recall to word problems you'd actually see in an exam.
Matching
Match the Solid to Its Surface Area Formula
Draw a line from each solid shape to its correct total surface area formula. r = radius, h = height, l = slant height.
1. Cube (side a)
2. Cuboid (l, b, h)
3. Cylinder
4. Cone
5. Sphere
6. Hemisphere
Fill in the Blanks
Fill in the Missing Terms
Complete each sentence using a word or term from the box below.
1.The sum of the areas of all faces of a solid, including top and bottom, is called its .
2.For a cylinder, the area of just the round side (not the two circles) is called its .
3.In a cone, the distance from the apex to any point on the edge of the base circle is called the .
4.The sum of the areas of the four vertical faces of a cuboid (excluding top and bottom) is its .
5.Twice the radius of a circle is called its .
Quiz (MCQ)
Quick Check: Surface Area Basics
Circle the correct option for each question.
1. What is the total surface area of a cube with side 5 cm?
2. The curved surface area of a cylinder is given by:
3. A cuboid has l = 8 cm, b = 6 cm, h = 4 cm. Its total surface area is:
4. Which solid has total surface area equal to 4πr²?
5. If the radius of a hemisphere is 7 cm, its curved surface area (use π = 22/7) is:
True / False
True or False?
Write T for true and F for false. Correct the false statements if you can.
1. The total surface area of a cube is always six times the area of one face.
2. Curved surface area and total surface area of a cylinder are the same thing.
3. A sphere has no flat faces, so it has no lateral surface area, only a total curved surface.
4. Doubling the side of a cube doubles its total surface area.
5. The slant height of a cone is always greater than its vertical height.
6. Surface area is measured in cubic units.
Short Answer
Word Problems - Show Your Working
Solve each problem step by step in your notebook, then write the final answer with correct units below.
1. A closed cylindrical tank has radius 3.5 m and height 10 m. Find its total surface area. (Use π = 22/7)
2. A cone-shaped tent has base radius 6 m and slant height 10 m. How much canvas is needed to make the tent, not counting the base?
3. Two cubes each of edge 4 cm are joined face to face to form a cuboid. Find the total surface area of the resulting cuboid, and explain why it is not simply twice the surface area of one cube.
These are open-ended - there's no single right answer to check.
Written by Lernizy Editorial Team
Updated 27 Aug 2026