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Recognition of Solids — Flashcards

ICSE · Class 7 · Mathematics

26 flashcards for Recognition of Solids (ICSE Class 7 Mathematics) to test yourself on key terms and facts. Part of the ICSE Class 7 Mathematics syllabus.

54 questions26 flashcards8 formulas & key relations5 concepts

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26 Flashcards·
Cube and cuboidCuboid countsCube facesEuler's formulaCylinderConePolyhedron
Card 1Cube and cuboid

A solid has 8 vertices, 12 edges, and 6 faces. Name the solid and give one key property that makes it different from a cuboid.

Answer

Step 1: A solid with V = 8, E = 12, and F = 6 is a cube or a cuboid. Step 2: The key difference is that a cube has all sides equal, so length = breadth = height. Step 3: A cuboid does not need all sid…

Card 2Cuboid counts

A cuboid has 6 rectangular faces. How many edges and vertices does it have?

Answer

Step 1: A cuboid has six rectangular faces. Step 2: The standard counts for a cuboid are 12 edges and 8 vertices. Step 3: Check: V = 8, E = 12, F = 6. Answer: 12 edges and 8 vertices.

Card 3Cube faces

A cube has 6 faces. What shape are the faces, and are all the faces equal?

Answer

Step 1: Each face of a cube is a square. Step 2: All six faces of a cube are congruent, which means equal in size and shape. Answer: The faces are squares, and all six faces are equal.

Card 4Euler's formula

Find the number of vertices, edges, and faces of a cube and verify Euler's formula.

Answer

Step 1: For a cube, V = 8, E = 12, F = 6. Step 2: Apply Euler's formula: V + F - E = 2. Step 3: Substitute values: 8 + 6 - 12 = 2. Answer: The cube satisfies Euler's formula.

Card 5Euler's formula

Use Euler's formula for a polyhedron with V = 8, F = 6, and E = 12. What is the value of V + F - E?

Answer

Step 1: Write the formula: V + F - E = 2. Step 2: Substitute the values: 8 + 6 - 12. Step 3: Calculate: 14 - 12 = 2. Answer: 2.

Card 6Cylinder

A cylinder has no vertices. How many edges and faces does it have?

Answer

Step 1: A cylinder has 0 vertices. Step 2: It has 2 edges. Step 3: It has 3 faces: two plane circular faces and one curved face. Answer: 2 edges and 3 faces.

Card 7Cone

A cone has one vertex. How many edges and surfaces does it have?

Answer

Step 1: A cone has 1 vertex. Step 2: It has 1 edge. Step 3: It has 2 surfaces: 1 curved surface and 1 plane circular surface. Answer: 1 edge and 2 surfaces.

Card 8Polyhedron

A shape has flat polygonal faces, straight edges, and sharp corners. What is it called?

Answer

Step 1: A solid with flat polygonal faces, straight edges, and sharp corners is a polyhedron. Step 2: Cube and cuboid are examples of polyhedra. Answer: Polyhedron.

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Frequently Asked Questions

What are the important topics in Recognition of Solids for ICSE Class 7 Mathematics?
Key topics in Recognition of Solids include Identifying 2D and 3D Figures, Cube, Cuboid, Cylinder, and Cone, Faces, Edges, and Vertices, Euler's Formula. Study these first, then practise questions on each for Class 7 exams.
How many flashcards are available for Recognition of Solids?
There are 26 flashcards for Recognition of Solids covering key definitions, facts and ideas. A few sample cards are shown on this page.
How should I revise Recognition of Solids for Class 7 exams?
Learn the core ideas first, then work through the 54 practice questions on Recognition of Solids. Revise definitions regularly and use flashcards for quick recall before the exam.

Sources & Official References

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