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Skills Covered

  • Name cubes, prisms, pyramids, cylinders, cones and spheres
  • Count the faces, edges and vertices of a solid and name the shapes of its faces
  • Sort solids into prisms, pyramids and solids with a curved surface
  • Compare flat shapes with solid figures, and two solids with each other
  • Match nets to solids, find cube nets, and draw the net of a box
  • Count the unit cubes that fill a box, layer by layer

How to Use This Pack

Five pages on solid figures. Page 1 names six solids from drawings and six from everyday objects (a number cube, a cereal box, a tent, a can, a party hat and a globe), using a word bank. Page 2 defines face, edge, vertex, base and apex on two labeled pictures, fills a table with the faces, edges and vertices of six solids and the shapes of their faces, and sorts nine solids into prisms, pyramids and solids with a curved surface. Page 3 compares a square with a cube, a rectangle with a rectangular prism and a triangle with a square pyramid (sides, angles, vertices, faces and edges), checks which of two solids each fact is true for, and says how a cube and a rectangular prism are alike and different. Page 4 matches four nets to their solids (one net is left over), circles the six-square patterns that fold into a cube, and draws a net of a box on a grid. Page 5 counts the unit cubes in box shapes layer by layer, finds how many cubes fill two clear boxes and how many more are needed, and builds two different boxes from 12 cubes.

In the Classroom

Pass around real objects before page 1: a number cube, a cereal box, a can, a ball, a party hat. Have students touch a face, run a finger along an edge and point to a vertex. For page 4, print a few nets on card stock, cut them out and fold them: the patterns that do not fold into a cube are the best part of the lesson. Page 5 goes well with connecting cubes.

At Home

Go on a solid figure hunt in the kitchen: a box of crackers, a can of soup, an orange, a funnel. Ask your child to name each solid and count its faces, edges and vertices. Open a small box flat to see its net.

Tips for Success

  • A face is flat, an edge is where two faces meet, and a vertex is where edges meet
  • A prism has two bases that match; its other faces are rectangles
  • A pyramid has one base; its other faces are triangles that meet at the apex
  • Cylinders, cones and spheres have a curved surface
  • A net is the flat pattern that folds into a solid: one shape for each face
  • Volume: count the cubes in one layer, then multiply by the number of layers

Common Core Standards Alignment

This pack supports the following Common Core State Standards for Mathematics:

  • 5.MD.C.3a Know that a unit cube, with edges 1 unit long, has a volume of one cubic unit and is the unit for measuring volume.
  • 5.MD.C.3b Know that a solid exactly filled by some number of unit cubes, with no gaps or overlapping, has that many cubic units of volume.
  • 5.MD.C.4 Find a volume by counting how many unit cubes fill it, in cubic centimeters, inches, feet or made-up units.
  • 5.MD.C.5a Pack a rectangular prism with unit cubes and check that the cube count equals length × width × height, or base area × height.

© Copyright 2010. National Governors Association Center for Best Practices and Council of Chief State School Officers. All rights reserved.

Solid Figures: Faces, Edges and Vertices

4th – 5th Grade

A 5-page solid figures pack for 4th and 5th grade. Name cubes, rectangular prisms, triangular prisms, square pyramids, cylinders, cones and spheres from drawings and from everyday objects such as a cereal box, a tent and a globe. Count the faces, edges and vertices of each solid, name the shapes of its faces, and sort solids into prisms, pyramids and solids with a curved surface. Compare a square with a cube and a triangle with a pyramid, check what two solids have in common, match nets to solids, find the nets that fold into a cube, draw a net on a grid, and count the unit cubes that fill a box layer by layer. Every page comes in color and in black and white. Answer keys included.

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What’s Included

  • 5 worksheets in color and in black and white, with answer keys (15 pages)
  • Naming solids from drawings and everyday objects, with a word bank
  • Faces, edges, vertices, bases and apex in a table, and sorting solids
  • Comparing flat and solid figures, nets, cube nets, and counting unit cubes
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This worksheet is free to download, print, copy, and hand out in your classroom or at home. You do not need to create an account, and there are no watermarks on the PDF.