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ICSE Class 8 Visualising Solid Shapes — practice questions

Explore 32 free Visualising Solid Shapes questions in ICSE Class 8 Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Visualising Solid Shapes questions and exercises with answers

Showing questions 1–30 of 32.

Which solid has only flat polygonal faces?Read the answer and worked solution →On a polyhedron, what is an edge?Read the answer and worked solution →How many faces meet at each vertex of a cube?Read the answer and worked solution →What must be true of the two bases of a prism?Read the answer and worked solution →In a prism that may be slanted, the lateral faces are always which shapes?Read the answer and worked solution →A pyramid has one polygonal base. What shape is every lateral face?Read the answer and worked solution →Which gives the faces, vertices and edges of a tetrahedron, in that order?Read the answer and worked solution →A cube has 6 faces. Which pair gives its vertices and edges, respectively?Read the answer and worked solution →A prism has n-sided bases (n ≥ 3). How many vertices and edges does it have?Read the answer and worked solution →A pyramid has an n-sided base (n ≥ 3). Which counts its vertices and edges?Read the answer and worked solution →In a pentagonal pyramid, how many triangular faces meet at the apex?Read the answer and worked solution →For a convex polyhedron, F, V and E count faces, vertices and edges. Which is Euler's relation?Read the answer and worked solution →A convex polyhedron has 9 faces and 14 vertices. How many edges does it have?Read the answer and worked solution →Which proposed counts cannot belong to a convex polyhedron?Read the answer and worked solution →A convex polyhedron has 8 triangular faces. Each edge meets two faces. How many vertices are there?Read the answer and worked solution →What is the smallest possible number of faces of a closed convex polyhedron?Read the answer and worked solution →What is a net of a polyhedron?Read the answer and worked solution →Which faces must a right triangular prism's net contain?Read the answer and worked solution →Which faces form the net of a square-based pyramid?Read the answer and worked solution →Which segment is a body diagonal of a cuboid?Read the answer and worked solution →How many body diagonals does a cuboid have, counting each segment only once?Read the answer and worked solution →Upright cuboid: width 6 cm, height 4 cm, depth 3 cm. Right-side view?Read the answer and worked solution →A closed convex polyhedron has no boundary gaps. How many faces meet along each edge?Read the answer and worked solution →Two equal cubes are glued along one complete face each. How many original square faces remain exposed?Read the answer and worked solution →Two regular tetrahedra join at a face, apices opposite. Outer (faces, vertices, edges)?Read the answer and worked solution →A cube's corner cut meets only its 3 incident edges. Changes (faces, vertices, edges)?Read the answer and worked solution →Right prism, scalene triangular base: its lateral faces are...Read the answer and worked solution →Which condition makes a rectangular cuboid a regular polyhedron?Read the answer and worked solution →Match Euler's formula components for polyhedra (F + V - E = 2):Read the answer and worked solution →Match each 3D polyhedron with its Euler characteristics (F, V, E):Read the answer and worked solution →

Worked practice questions

Which solid has only flat polygonal faces?

  1. A triangular prism
  2. A spherical ball
  3. A circular cone
  4. A circular cylinder
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Correct answer: A. A triangular prism

A triangular prism has triangular and rectangular faces; the other solids have curved surfaces.

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On a polyhedron, what is an edge?

  1. A flat polygonal region
  2. A line segment where faces meet
  3. An interior region of the solid
  4. A corner where edges meet
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Correct answer: B. A line segment where faces meet

Two adjacent faces meet along an edge, which is a line segment.

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How many faces meet at each vertex of a cube?

  1. 4 faces
  2. 2 faces
  3. 6 faces
  4. 3 faces
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Correct answer: D. 3 faces

Each cube vertex is the common corner of three square faces.

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More Mathematics topics

Data HandlingComparing QuantitiesSquares and Square RootsExponents And PowersAlgebraic Expressions and IdentitiesDirect And Inverse ProportionsFactorisationRational Numbers