Volume of 3D Shapes – Geometry Reference

Product description

From the author

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 math 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.

Good to know

Questions teachers ask about this resource

Which shapes and formulas does the sheet cover?

Eight solids in one table: cube (l³), cuboid (lwh), triangular prism (½bhl), pentagonal prism (cross-section area × length), cylinder (πr²h), square-based pyramid (⅓ × base area × height), cone (⅓πr²h), and sphere (⁴⁄₃πr³) — each with its face, vertex, and edge counts.

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Curriculum

Standards, concepts & topics

Standards

8.G.C.9

Core concepts

Volume formulas
3-D shapes
Solid figure properties

Topics

Three-Dimensional Shapes Volume Formulas Faces Edges Vertices Geometry Reference

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Categories this resource belongs to

Math Activities Geometry Activities Activities Activities By Subject Holiday and Seasonal Activities Cut and Paste Activities

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