Virginia SOL Math / Grade 4 / Measurement & Geometry

4.MG.6

Plane & Solid Figures

What you'll learn

  • Compare and contrast plane and solid figures
  • Identify faces, edges, and vertices of solid figures
  • Describe solids such as cubes, prisms, pyramids, cylinders, cones, and spheres

Words to know

Plane figure —
a flat, two-dimensional shape
Solid figure —
a three-dimensional shape that takes up space
Face —
a flat surface of a solid
Edge —
a line where two faces meet
Vertex —
a corner where edges meet

Why it matters Telling plane and solid figures apart helps us describe real objects, from a flat sign to a boxed package.

Worked examples

Model ItI do

How many faces, edges, and vertices does a cube have?

A cube has 6 square faces, one on each side. Its faces meet in 12 edges and 8 vertices (corners).

Try It TogetherWe do

How is a square different from a cube?

A square is a plane figure, flat with only length and width. A cube is a solid figure that takes up space and has faces, edges, and vertices.

Now YouYou do

How many faces does a rectangular prism have?

Picture a box and count the flat surfaces, including top and bottom. Check your answer in the back.

Practice

Mastered 0 of 11

Warm-up

Ease in with the basics.

  1. 1.Is a square a plane figure or a solid figure?

  2. 2.How many faces does a cube have?

  3. 3.What do you call a flat surface of a solid?

On Level

The core Quick Check from the book.

  1. 1.Is a circle a plane figure or a solid figure?

  2. 2.How many faces does a cube have?

  3. 3.How many vertices does a cube have?

  4. 4.What do you call the corner where edges meet?

  5. 5.Name a solid figure with no flat faces.

Challenge

Stretch your thinking.

  1. 1.How many edges does a cube have?

  2. 2.How many faces, edges, and vertices does a rectangular prism have?

  3. 3.Name a solid figure that has one flat face and comes to a point.