Surface Area Quiz - CBSE Class 10 Mathematics

Free practice quiz: Surface Area (CBSE Class 10 Mathematics). 11 multiple-choice questions with answers and explanations. Play online, no sign-up needed.

Sample questions

1. What is the total surface area of a cube with side length 5 cm?

   1. 50 cm^2
   2. 125 cm^2
   3. 100 cm^2
   4. 150 cm^2
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   Answer: D. 150 cm^2

   A cube has 6 faces, each of which is a square. The area of one face is side × side = 5 cm × 5 cm = 25 cm^2. Thus, the total surface area is 6 × 25 cm^2 = 150 cm^2.

2. A cube and a cuboid have the same surface area. The side of the cube is 3 cm. If the dimensions of the cuboid are 2 cm, 3 cm, x cm, what is x?

   1. 3 cm
   2. 4 cm
   3. 5 cm
   4. 6 cm
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   Answer: B. 4 cm

   The surface area of the cube is 6 × 3² = 54 cm². The surface area of the cuboid is 2(2 × 3 + 3 × x + x × 2). Setting them equal gives 54 = 2(6 + 3x + 2x), solve to find x = 4 cm.

3. A cylinder has a radius of 7 cm and a height of 20 cm. What is its lateral surface area?

   1. 330 cm²
   2. 440 cm²
   3. 880 cm²
   4. 550 cm²
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   Answer: C. 880 cm²

   The lateral surface area of a cylinder is given by the formula 2πrh. Substituting r = 7 cm, h = 20 cm into the formula gives: 2 × π × 7 × 20 = 880 cm².

4. What is the curved surface area (CSA) of a cone with a radius of 3 cm and slant height of 7 cm?

   1. 20π cm²
   2. 25π cm²
   3. 21π cm²
   4. 24π cm²
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   Answer: C. 21π cm²

   The curved surface area of a cone is πrl. Substituting the given values: π × 3 × 7 = 21π cm².

5. Calculate the surface area of a cube circumscribing a sphere of radius 3 cm.

   1. 216 cm²
   2. 324 cm²
   3. 436 cm²
   4. 548 cm²
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   Answer: B. 324 cm²

   The diameter of the sphere is equal to the side of the cube, thus side = 2*radius = 6 cm. The surface area of the cube is 6*side² = 6*6² = 324 cm².

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