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Features

  • Forms A and B ask the same questions with different numbers
  • Find volume by counting unit cubes, and write it in cubic centimeters or cubic inches
  • Multiply the bottom layer by the number of layers in a clear box
  • Use V = l × w × h and V = B × h
  • Find the volume of a shape made of two prisms, and solve two volume stories
  • The last four questions (faces, edges and vertices, nets, a missing edge and a box with the same volume, perimeter, area or volume) are for the states that teach them in 5th grade
  • Answer keys name the lesson and skill of every question

Skills Covered

  • Volume as unit cubes, in cubic units
  • Cubic centimeters and cubic inches
  • The bottom layer times the number of layers
  • V = l × w × h and V = B × h
  • Shapes made of two prisms
  • Volume stories
  • Faces, edges and vertices of solids
  • Nets of prisms and cubes
  • A missing edge, and a box with the same volume
  • Choosing perimeter, area or volume

How to Use This Pack

The unit test on solid figures and volume. Pages 1 and 2 are Form A. Pages 3 and 4 are Form B: the same questions in the same order with different numbers, for a retake, a make-up or a second seating. Each form has 12 questions, one point each, and a Score line on its first page. Questions 1 to 8 are the Common Core part of the unit; questions 9 to 12 (faces, edges and vertices, nets, a missing edge and a box with the same volume, and choosing perimeter, area or volume) are for the states that teach them in 5th grade. The pre-check and the unit review are packs of their own.

In the Classroom

Give Form A the day after the unit review. Students need scrap paper for the products of three numbers. Several questions have parts (three blanks for a clear box, three counts for a solid, a name and a circling for the nets, a missing edge and a second box, a measure to circle and an answer to write): give the point when every part is right. Questions 9 to 12 are taught in 5th grade in some states only: give the ones your class learns and score out of what you give. Where the key says "One way", other answers are right too. No question asks a problem from the unit's exit tickets or from the practice sheets the lessons use. The answer keys name each question's skill, so a missed question points to the lesson to reteach.

At Home

Use Form B as a check after the unit. Find a box at home, measure its length, width and height, and ask your child how many inch cubes would fill it.

Tips for Success

  • Ask "how many in the bottom layer, how many layers?" before multiplying
  • Have students write the formula before putting in the numbers
  • Label every volume with its unit: cubic units, cubic inches, cubic feet
  • Split a shape made of two prisms before finding its volume
  • Use Form B as a retake after reteaching what was missed

Common Core Standards Alignment

This pack supports the following Common Core State Standards for Mathematics:

  • 4.MD.A.3 Solve real and math problems with rectangle area and perimeter formulas, such as finding an unknown side from the area and the other side.
  • 5.NF.B.4b Tile a rectangle with fraction side lengths using squares whose sides are unit fractions, and see the area equals the two sides multiplied.
  • 5.MD.C.3a Know that a unit cube, with edges 1 unit long, has a volume of one cubic unit and is the unit for measuring volume.
  • 5.MD.C.3b Know that a solid exactly filled by some number of unit cubes, with no gaps or overlapping, has that many cubic units of volume.
  • 5.MD.C.4 Find a volume by counting how many unit cubes fill it, in cubic centimeters, inches, feet or made-up units.
  • 5.MD.C.5a Pack a rectangular prism with unit cubes and check that the cube count equals length × width × height, or base area × height.
  • 5.MD.C.5b Use the two volume formulas for rectangular prisms (length × width × height, and base area × height) in real and math problems.
  • 5.MD.C.5c Find the volume of a solid made of two rectangular prisms that do not overlap by adding their volumes, including in real problems.

© Copyright 2010. National Governors Association Center for Best Practices and Council of Chief State School Officers. All rights reserved.

5th Grade Solid Figures and Volume Test

5th Grade

The unit test on solid figures and volume in two forms, from unit cubes to the volume formulas. Students count cubes in cubic units, multiply the bottom layer by the layers, use V = l × w × h and V = B × h, add the volumes of two prisms, and solve volume stories.

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What’s Included

  • The unit test in two forms, A and B (12 questions each)
  • Answer keys that name each question's lesson and skill (8 pages in all)
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