Recognition of Solids
ICSE · Class 7 · Mathematics
Flashcards for Recognition of Solids — ICSE Class 7 Mathematics. Quick Q&A cards covering key concepts, definitions, and formulas.
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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…
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.
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.
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.
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.
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.
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.
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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