Chapter 12 · Class 10 CBSE · Worksheet

Surface Areas & Volumes Worksheet — Class 10 CBSE Maths

Download a free printable worksheet with 30 questions at 3 difficulty levels. Includes full answer key.

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30 questions (Easy + Medium + Hard) with answer key. Fresh set generated daily.

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Sample Questions — Surface Areas & Volumes

Here are 8 sample questions from this worksheet. Download the full PDF for all 30 questions.

Q1.A toy is in the shape of a cone mounted on a hemisphere of the same base radius. Which expression correctly represents the total surface area of the toy?

A.CSA of cone + CSA of hemisphere
B.CSA of cone + TSA of hemisphere
C.TSA of cone + CSA of hemisphere
D.TSA of cone + TSA of hemisphere - area of common base

Difficulty: Easy

Q2.A solid is formed by placing a cylinder on top of another larger cylinder. To find the total volume of this combined solid, what approach should be used?

A.Add the Curved Surface Areas of both cylinders.
B.Add the Volumes of both cylinders.
C.Add the Total Surface Areas of both cylinders.
D.Add the Volume of the larger cylinder and the Curved Surface Area of the smaller cylinder.

Difficulty: Easy

Q3.Ravi is calculating the total surface area of a cubical block surmounted by a hemisphere. He uses the formula: Total Surface Area = (Total Surface Area of Cube) + (Curved Surface Area of Hemisphere). What mistake, if any, did Ravi make?

A.No mistake, the formula is correct.
B.He should have subtracted the area of the base of the hemisphere from the surface area of the cube.
C.He should have added the Total Surface Area of the hemisphere instead of the Curved Surface Area.
D.He should have used only the Curved Surface Area of the cube.

Difficulty: Easy

Q4.A solid toy is in the form of a hemisphere surmounted by a right circular cone. The height of the cone is 6 cm and the diameter of the base is 4 cm. What is the volume of the toy? (Use π = 22/7)

A.25.14 cm³
B.33.52 cm³
C.41.90 cm³
D.50.28 cm³

Difficulty: Easy

Q5.A storage tank is in the shape of a cylinder with two hemispherical ends. The total length of the tank is 13.5 m and the diameter is 7 m. Find the total surface area of the tank. (Use π = 22/7)

A.220 m²
B.253 m²
C.297 m²
D.330 m²

Difficulty: Easy

Q6.A solid metallic sphere of radius 10 cm is melted and recast into a number of smaller solid cones, each of radius 5 cm and height 2 cm. Which principle must be used to find the number of cones formed?

A.The total surface area of the sphere is equal to the sum of the total surface areas of all the cones.
B.The volume of the sphere is equal to the sum of the volumes of all the cones.
C.The curved surface area of the sphere is equal to the sum of the curved surface areas of all the cones.
D.The density of the sphere is equal to the sum of the densities of all the cones.

Difficulty: Easy

Q7.A cylindrical hole is drilled through the center of a solid cubical block. Which of the following statements is true regarding the resulting solid?

A.Both its volume and total surface area will decrease.
B.Its volume will decrease, but its total surface area will increase.
C.Its volume will decrease, and its total surface area will remain the same.
D.Its volume will decrease, but its total surface area will first decrease and then increase.

Difficulty: Easy

Q8.Consider a solid formed by a cone placed on top of a cylinder. Both have the same radius 'r'. The height of the cone is 'h₁' and the height of the cylinder is 'h₂'. Which of the following expressions correctly represents the total surface area of this combined solid?

A.πr(l + 2h₂ + r) where 'l' is the slant height of the cone.
B.πr(l + 2h₂ + 2r) where 'l' is the slant height of the cone.
C.πr(l + 2h₂ + 0) where 'l' is the slant height of the cone.
D.πr(l + h₂ + r) where 'l' is the slant height of the cone.

Difficulty: Easy

Answer Key — Sample Questions+
Q1:CSA of cone + CSA of hemisphere
Q2:Add the Volumes of both cylinders.
Q3:He should have subtracted the area of the base of the hemisphere from the surface area of the cube.
Q4:41.90 cm³
Q5:297 m²
Q6:The volume of the sphere is equal to the sum of the volumes of all the cones.
Q7:Its volume will decrease, but its total surface area will increase.
Q8:πr(l + 2h₂ + r) where 'l' is the slant height of the cone.

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

About This Worksheet

TopicSurface Areas & Volumes
BoardCBSE
Class10
Total Questions30 (10 Easy + 10 Medium + 10 Hard)
Answer KeyIncluded
PriceFree

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Frequently Asked Questions

Where can I download a free Surface Areas & Volumes worksheet for Class 10?+
You can download a free Surface Areas & Volumes PDF worksheet for Class 10 CBSE right here on SparkEd. The worksheet includes 30 questions at easy, medium, and hard levels with a complete answer key.
How many questions are in the Surface Areas & Volumes worksheet?+
Each SparkEd worksheet for Surface Areas & Volumes contains 30 questions — 10 easy, 10 medium, and 10 hard. A fresh set is generated daily so you never repeat the same sheet.
Does the Surface Areas & Volumes worksheet include answers?+
Yes. Every SparkEd worksheet comes with a separate answer key so students can self-check their work after completing the sheet.

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