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
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.
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.
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.
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.
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.
How many faces does an octahedron have?
Answer: 8
A regular octahedron has 8 equilateral triangular faces.