6th grade volume of composite figures worksheets

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Use drawings of composite prisms to find a total volume, a component volume or a missing length. Six problems mix addition, subtraction and division. Easier questions use mostly whole numbers; default and harder questions include selected fractional or decimal measurements.

Free printable PDF worksheet, aligned to Common Core 6.G.A.2.

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The kind of problems you'll get

Find each volume. Show your work and include cubic units.

  1. Prism A has a volume of 24 cm³. Prism B has a volume of 16 cm³. Find the total volume.

    Answer: Total volume: 24 + 16 = 40 cm³.

Most problems on this sheet sit beside a picture, model or diagram, so this is the worked example the sheet itself prints. The answer key on page two prints the answer under every problem.

Every print pulls a fresh set of problems at this level, so a make-up test or a second sibling never gets the same sheet.

What's on each sheet

Every version prints on US Letter or A4, with its answer key after the problems.

This sheet is one of the versions on the 6th grade volume of rectangular prisms page, with its own difficulty choices and its own answer key.

How to teach this

Read what the question asks for before choosing an operation. Add component volumes for a total. Subtract the known components to recover a missing volume, then divide by the known base area when the unknown is a height. A shared dimension can appear in more than one component. Use the letter labels to keep track of each part, and check the result by substituting it into the original total. Missing lengths use linear units; volumes use cubic units.

Watch for: A composite figure needs a separate length × width × height calculation for each nonoverlapping prism. Multiplying every labeled number together does not give its volume. When a component volume is not given, use its length, width and height. Read each measurement from the correct prism; a shared dimension can apply to more than one part.

Common questions about 6th grade volume of composite figures

How is the 6th grade sheet different?
The grade 6 sheet includes drawn composite solids, missing component volumes and missing dimensions. Default questions balance two totals, two component volumes and two missing dimensions. Harder problems can use shared heights, removed corners and selected fractional measurements.
Which standard does this cover?
6.G.A.2, the volume of right rectangular prisms in real and mathematical problems. The composite figure is where one formula stops being enough and your child has to decide how the pieces fit together before multiplying anything.

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Aligned to Common Core 6.G.A.2. Reviewed by the One more sheet team. Content version 241, updated September 2026.

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