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Features

  • Prisms cut parallel to the base: draw and name each cross-section
  • Pyramids and cones: the same shape as the base, smaller towards the apex
  • Compare two slices of one solid and circle the bigger one
  • The slice test: the same shape and size all the way along means a right prism
  • Cuts straight down, on a slant and from corner to corner, matched to their shapes
  • Name a solid from a picture of its slices
  • A worked example on every page
  • Answer keys included

Skills Covered

  • Name the cross-section when a solid is cut parallel to its base
  • Know that every slice of a right prism parallel to its base matches the base
  • Compare the slices of pyramids, cones and spheres
  • Use the slice test to tell prisms from other solids
  • Find the cross-section when a solid is cut in another direction
  • Name a solid from a picture of its slices

How to Use This Pack

Five pages for Year 6 on the cross-sections of solids: the flat face you would see if you cut straight through a solid. Page 1 cuts prisms parallel to the base, and children draw and name each cross-section, then work out the sides of a slice from the measurements of a prism. Page 2 cuts pyramids and a cone parallel to the base and asks how each slice compares with the base, then which of two slices is bigger. Page 3 is the slice test: two slices of each solid, the same size or not, and is it a prism? Page 4 cuts solids straight down, on a slant and from corner to corner, and children circle the shape of each cross-section. Page 5 shows a solid as a stack of slices, and children name the solid.

In the Classroom

Cut a block of cheese, a loaf of bread or a slab of modelling clay shaped as a prism, and hold up each slice: every one matches the end. Then cut a clay pyramid or cone the same way and compare the slices. Ask the class why a cylinder passes the slice test but is still not a prism.

At Home

Look for prisms in the kitchen: a block of butter, a box of tissues, a stick of celery cut across. Slice a carrot, a banana or a cucumber and talk about the shape of each slice, and whether the slices stay the same size.

Tips for Success

  • A cross-section is the flat face a straight cut makes
  • Cut a right prism parallel to its base and every slice matches the base
  • Cut a pyramid or cone parallel to its base and the slices shrink towards the apex
  • A cylinder has the same slices all along, but its curved surface means it is not a prism
  • Cutting in another direction can make a different shape: a rectangle, a triangle or an oval

Cross-Sections of Solids

5th Grade

Cross-sections of prisms, pyramids, cylinders, cones and spheres, and how slices cut parallel to the base show which solids are right prisms. Students draw and name cross-sections, compare slices, use the slice test to find the prisms, match cuts made in other directions to their shapes and name solids from their slices.

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What’s Included

  • 5 worksheets with answer keys (10 pages)
  • Prisms, pyramids and cones cut parallel to the base
  • The slice test, with a mix of solids
  • Cuts in other directions, and solids named from their slices
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