Introduction Quiz - CBSE Class 7 Mathematics
Free practice quiz: Introduction (CBSE Class 7 Mathematics). 12 multiple-choice questions with answers and explanations. Play online, no sign-up needed.
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What is volume in mathematics?
- A measure of space inside a 3D object
- The weight of an object
- The length of an object
- The height of an object
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Answer: A. A measure of space inside a 3D object
Volume is the amount of space inside a three-dimensional object, like a cube or a cylinder.
What is surface area in mathematics?
- The total area of the surface of a 3D object
- The perimeter of a 2D shape
- The space inside a 2D shape
- The length of a 3D object
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Answer: A. The total area of the surface of a 3D object
Surface area is the total area that the surface of an object occupies.
Find the surface area of a cube with side length of 5 cm.
- 150 cm²
- 125 cm²
- 100 cm²
- 25 cm²
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Answer: A. 150 cm²
The surface area of a cube is 6 times the area of one face. So, 6 × (5 cm × 5 cm) = 150 cm².
A cube with a side length of 6 cm and a sphere have equal volumes. Find the sphere's approximate radius.
- 3.6 cm
- 4.5 cm
- 5.8 cm
- 6 cm
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Answer: A. 3.6 cm
Volume of cube = 6³ = 216 cm³. Use sphere volume formula 4/3 πr³ = 216 to find r ≈ 3.6 cm.
By what factor does the surface area change if a sphere's radius triples?
- 9 times
- 3 times
- 27 times
- 1 time
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Answer: A. 9 times
Surface area is proportional to r². Tripling radius increases surface area by 3² = 9 times.