Volume of 3D Shapes – Geometry Reference

Eight 3-D shapes — cube, cuboid, triangular and pentagonal prisms, cylinder, square-based pyramid, cone, and sphere — sit in one reference table with their face, vertex, and edge counts and volume formulas.
File type
PDF
Preparation
Print ready

Updated Sep 27, 2026

Subject
Geometry, Maths
Topic
Geometry, Volume
Resource types
Activities
Preparation
Print ready

From the author

About this resource

This one-page PDF reference compares eight solids using pictures, names, face/vertex/edge counts and volume formulas.

Use it during work on volumes and clarify the table’s convention for curved surfaces. The supplied file is a fixed PDF reference; native editable source is not included.

In the classroom

Teaching tips & learning objectives

Teaching tips

  • Slot the sheet into maths notebooks or homework folders as a formula reference during a volume unit

  • Cover the formula column and quiz students on properties — the faces/vertices/edges columns make a ready recall game

  • Note the British term 'cuboid' for rectangular prism if your curriculum uses US terminology

Skills covered

  • Volume formula reference — students look up the correct formula, from lwh for a cuboid to ⁴⁄₃πr³ for a sphere, while solving problems.

  • Solid-figure properties — the table pairs each shape with its face, vertex, and edge counts, including prism and pyramid cases.

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Resource details

Concepts & topics

Core concepts

  • Volume formulas

  • 3-D shapes

  • Solid figure properties