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Find the Missing Dimension is a free printable Grade 5 maths worksheet on working backwards from the volume, aligned to Common Core standard 5.MD.C.5. It prints 10 questions with an answer key on its own sheet of paper, in 25 versions that each ask different questions, so no two pupils in the class work from the same page. Print it from the browser or download it as a PDF — no account, no email.

Set 1 of 25 · the same problems every time you open this link.

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One paper per pupil

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All 25 sets ask different questions.

Find the Missing Dimension

5.MD.C.5

NameDate

Work out each answer.

1.A box has volume 96 cubic units. Its base is 3 by 8. How tall is it?
2.A box has volume 96 cubic units. Its base is 6 by 4. How tall is it?
3.A box has volume 324 cubic units. Its base is 6 by 9. How tall is it?
4.A box has volume 144 cubic units. Its base is 8 by 3. How tall is it?
5.A box has volume 108 cubic units. Its base is 4 by 9. How tall is it?
6.A box has volume 63 cubic units. Its base is 3 by 7. How tall is it?
7.A box has volume 32 cubic units. Its base is 4 by 4. How tall is it?
8.A box has volume 144 cubic units. Its base is 6 by 8. How tall is it?
9.A box has volume 56 cubic units. Its base is 7 by 2. How tall is it?
10.A box has volume 105 cubic units. Its base is 7 by 3. How tall is it?

LessonPrint · 5.MD.C.5 · Set 1 · free to copy for classroom use

Answer key — Find the Missing Dimension

Set 1. Prints on its own sheet.

  1. 1.4
  2. 2.4
  3. 3.6
  4. 4.6
  5. 5.3
  6. 6.3
  7. 7.2
  8. 8.3
  9. 9.4
  10. 10.5

Questions about Find the Missing Dimension

What does the Find the Missing Dimension worksheet cover?

It practises working backwards from the volume — 10 questions for Grade 5, all on Common Core 5.MD.C.5: Find volume by multiplying. The instruction to pupils is “Work out each answer”, and the answer key follows on the next sheet.

Which Common Core standard does Find the Missing Dimension practise?

CCSS.MATH.CONTENT.5.MD.C.5 — 5.MD.C.5, in the Measurement & Data domain for Grade 5. The published standard reads: “Relate volume to the operations of multiplication and addition and solve real world and mathematical problems involving volume.” The worksheet assesses that standard rather than a paraphrase of it.

What age or grade is this worksheet for?

Find the Missing Dimension is written for Grade 5, typically ages 10-11. It is one of the sheets on 5.MD.C.5, so it suits any pupil working at that standard — including older pupils revisiting it and younger ones working ahead.

Does Find the Missing Dimension come with an answer key?

Yes. All 10 answers are generated from the same problems as the questions, so the key cannot drift out of step with the sheet. It starts on a fresh sheet of paper, after the questions, so it is not handed out with the class by accident.

How many different versions of Find the Missing Dimension can I print?

25 — one per pupil, and all 25 ask different questions. Set 1 downloads the whole class as a single PDF. Every version is fixed to its own address, so a sheet printed today holds the same problems when you reopen it next week.

Is Find the Missing Dimension free to print and photocopy?

Yes. Find the Missing Dimension, its answer key and its 25 versions are free to print and photocopy for your own class, with no account, no email capture and no subscription at the download step. Please do not resell them or republish them as your own.

More practice for 5.MD.C.5

Find volume by multiplying.

All Grade 5 worksheets

Last reviewed 2026-09-05. Aligned to 5.MD.C.5 of the Common Core State Standards for mathematics.