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Geometry 3D Shapes & Solids Flashcards

6 cards from real Geometry practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.

Read the first 6 Geometry 3D Shapes & Solids flashcards as text
  1. What is the surface area of a sphere with radius 4 cm?

    Answer: 64π cm²

    Surface area of a sphere = 4πr² = 4π × 16 = 64π cm².

  2. The cross-section of a cylinder cut parallel to its base is a:

    Answer: Circle

    A horizontal cross-section of a cylinder parallel to its circular base is always a circle.

  3. A rectangular prism has length 5, width 3, and height 2. What is its surface area?

    Answer: 62

    SA = 2(lw + lh + wh) = 2(15 + 10 + 6) = 2(31) = 62.

  4. What is Euler's formula relating vertices (V), edges (E), and faces (F) of a polyhedron?

    Answer: V − E + F = 2

    Euler's formula states V − E + F = 2 for any convex polyhedron.

  5. A cone has a radius of 4 cm and a height of 3 cm. What is its slant height?

    Answer: 5 cm

    Slant height l = √(r² + h²) = √(16 + 9) = √25 = 5 cm.

  6. How many faces does an octahedron have?

    Answer: 8

    A regular octahedron has 8 equilateral triangular faces.