Loading preview...

Skills Covered

  • Count unit cubes to find volume in cubic units
  • Multiply the cubes in the bottom layer by the number of layers
  • Find volume with V = l × w × h and V = B × h
  • Find a missing edge from the volume
  • Add the volumes of two prisms joined together
  • Choose perimeter, area, or volume and solve story problems

How to Use This Pack

Five pages on the volume of rectangular prisms. Page 1 defines a unit cube and volume, works one box shape layer by layer, and asks for the volume of eight box shapes in cubic units, cubic centimeters, cubic inches, and cubic feet. Page 2 shows four clear boxes with some cubes inside: students find the cubes in the bottom layer, the number of layers, and the volume. Page 3 gives prisms with labeled edges for V = l × w × h, prisms with the area of the base for V = B × h, and two prisms with a missing edge. Page 4 joins two box shapes: first made of unit cubes to count in two parts, then solids with labeled edges, where students find the volume of each part and add. Page 5 has six story problems (a cereal box, a fish tank, a sandbox, a missing height), six situations to match with perimeter, area, or volume, and a row of boxes to circle when their volume is 24 cubic units.

In the Classroom

Fill a small box with connecting cubes before page 1 and count them two ways: one at a time and as layers. On page 2, connect the bottom layer to the area of the base: l × w cubes in a layer, h layers. Before page 4, build an L shape from two box shapes and let students split it in different ways; the total volume stays the same.

At Home

Measure a cereal box or a shoe box with a ruler, rounding to whole inches, and multiply to find its volume. Ask which holds more, and check by filling both with rice or dried beans.

Tips for Success

  • Volume is the number of unit cubes that fill a solid, with no gaps or overlaps
  • The cubes in the bottom layer are l × w; multiply by the layers
  • V = l × w × h and V = B × h give the same answer: B is l × w
  • Write volume in cubic units: cubic cm, cubic in., cubic ft
  • To find a missing edge, divide the volume by the two edges you know
  • For two prisms joined together, find each volume, then add

Common Core Standards Alignment

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

  • 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.

Volume of Rectangular Prisms

5th Grade

A 5-page volume pack for 5th grade. Count unit cubes in cubic units, centimeters, inches, and feet, fill clear boxes layer by layer, and find volume with V = l × w × h and V = B × h. Find a missing edge, add the volumes of two prisms joined together, solve story problems about boxes, tanks, and sandboxes, choose perimeter, area, or volume, and find boxes with the same volume. Every page comes in color and in black and white. Answer keys included.

Download PDF
Pin

What’s Included

  • 5 worksheets in color and in black and white, with answer keys (15 pages)
  • Box shapes made of unit cubes and clear boxes to fill layer by layer
  • Prisms with labeled edges for V = l × w × h and V = B × h, and missing edges
  • Two prisms joined together, story problems, perimeter, area, or volume, and boxes with the same volume
Can’t find what you need?

Tell us what to make next, or build your own with a worksheet maker.

Suggest a worksheet

Free to print and share

This worksheet is free to download, print, copy, and hand out in your classroom or at home. You do not need to create an account, and there are no watermarks on the PDF.