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What is volume?

What volume is: how many unit cubes fill a solid, with no gaps or overlaps, counted in cubic units.

Make a sheetDownload PDFThe PDF has this sheet, its answer key and a guide for grown-ups.

How to help

Count every cube in the solid exactly once, including the ones hidden at the back and underneath. That count is the volume in cubic units.

Watch for: Counting only the faces you can see and missing hidden cubes. Counting a corner cube twice because it shows on two sides. Giving the answer in square units instead of cubic units.

At home: Build shapes from sugar cubes, dice or blocks and count the cubes. Try making two different shapes with the same volume.

Sample sheet and answer key

Luna's Space Adventure

Grade 5 · What is volume? · 5.MD.C.3

NameDate

Astronaut Luna is exploring a far-off corner of space. Solve each problem to help Luna's mission go smoothly!

Count the cubes

Each small cube is 1 cubic unit. Count hidden cubes too.

cubic units
cubic units
cubic units
cubic units

True or false?

Circle one.

Volume is measured in square units.truefalse

A cube 1 unit on each side has a volume of 1 cubic unit.truefalse

Volume measures how much space a solid takes up.truefalse

Mathness! Math Worksheets · © 2026 Zubin KhavarianCode 5MDC3-SP-FIRST at mathness.app
Sheet

Luna's Space Adventure

Grade 5 · What is volume? · 5.MD.C.3

Answer key

Astronaut Luna is exploring a far-off corner of space. Solve each problem to help Luna's mission go smoothly!

Count the cubes

Each small cube is 1 cubic unit. Count hidden cubes too.

24cubic units
4cubic units
12cubic units
12cubic units

True or false?

Circle one.

Volume is measured in square units.truefalse

A cube 1 unit on each side has a volume of 1 cubic unit.truefalse

Volume measures how much space a solid takes up.truefalse

Mathness! Math Worksheets · © 2026 Zubin KhavarianCode 5MDC3-SP-FIRST at mathness.appAnswer key
Answer key

New problems every time, three levels (gentle, core and stretch), themes to pick from, a second page if you want one. Each sheet comes with an answer key and a one-page guide for grown-ups.

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Standard

Common Core 5.MD.C.3 · Understand volume as how many unit cubes fill a solid.

Also: Maryland 2025 5.GR.C.4 · Texas TEKS 5.6A · Florida B.E.S.T. MA.5.GR.3.1 · Virginia SOL 5.MG.2

More grade 5 sheets: measurement & data