AI Math Solver
Resources
Questions
Pricing
Login
Register
Home
>
Questions
>
3D Shape Face Count Quiz: Cube, Cylinder, Sphere
Mathematics
Grade 3 of Primary School
Question Content
1. How many faces do the following 3-D shapes have? a) Cube ______ face(s) b) Cylinder ______ face(s) c) Sphere ______ face(s)
Correct Answer
a) 6; b) 3; c) 1
Detailed Solution Steps
1
Step 1: Recall the definition of a face (a flat or curved surface that forms part of the boundary of a 3D shape):
2
Step 2: For a cube: A cube has 6 flat square surfaces, so it has 6 faces.
3
Step 3: For a cylinder: A cylinder has 2 flat circular faces (top and bottom) and 1 curved lateral face, so total 3 faces.
4
Step 4: For a sphere: A sphere is a completely curved 3D shape with only 1 continuous curved face.
Knowledge Points Involved
1
3D Shape Faces (Cube)
A cube is a rectangular prism with 6 congruent square flat faces, all edges of equal length. This applies to identifying surface counts for basic 3D objects in geometry.
2
3D Shape Faces (Cylinder)
A cylinder is a curved 3D shape consisting of 2 parallel circular flat faces and 1 curved lateral face that connects the two circles. Used to distinguish between flat and curved faces in 3D shapes.
3
3D Shape Faces (Sphere)
A sphere is a perfectly round 3D shape with no edges or vertices, only one continuous curved face. This is a key characteristic for classifying spherical objects.
Loading solution...
