Grade 5 - Math

Grade 5 Volume of Rectangular Prisms Worksheet

6 printable versions - On Level - About 10 minutes each

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Volume of Rectangular Prisms

Grade 5 - Math - On Level

Worksheet 1

  1. A rectangular prism is 3 units long, 5 units wide, and 3 units high. What is its volume?

    An array of blocks in 5 rows and 3 columns.An arrangement of blocks in 5 equal rows with 3 in each row.blockblockblockblockblockblockblockblockblockblockblockblockblockblockblock

  2. One layer of a prism has 6 x 5 unit cubes. There are 7 layers. How many unit cubes are in the prism?

    An array of blocks in 5 rows and 6 columns.An arrangement of blocks in 5 equal rows with 6 in each row.blockblockblockblockblockblockblockblockblockblockblockblockblockblockblockblockblockblockblockblockblockblockblockblockblockblockblockblockblockblock

  3. A prism has volume 40 cubic units, length 4, and width 5. What is the height?

  4. Which formula finds the volume of a rectangular prism with length 8, width 5, and height 4?

  5. A box has a base area of 32 square units and height 3 units. What is the volume?

  6. A rectangular prism is 2 units long, 3 units wide, and 3 units high. What is its volume?

    An array of blocks in 3 rows and 2 columns.An arrangement of blocks in 3 equal rows with 2 in each row.blockblockblockblockblockblock

  7. One layer of a prism has 7 x 4 unit cubes. There are 4 layers. How many unit cubes are in the prism?

    An array of blocks in 4 rows and 7 columns.An arrangement of blocks in 4 equal rows with 7 in each row.blockblockblockblockblockblockblockblockblockblockblockblockblockblockblockblockblockblockblockblockblockblockblockblockblockblockblockblock

  8. A prism has volume 126 cubic units, length 3, and width 6. What is the height?

  9. Which formula finds the volume of a rectangular prism with length 9, width 2, and height 3?

  10. A box has a base area of 64 square units and height 3 units. What is the volume?

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About this worksheet

Volume of rectangular prisms asks students to count cubic units by multiplying the dimensions of a three-dimensional shape asks fifth graders to coordinate notation, calculation, and reasoning instead of applying a memorized step in isolation. Students may find the area of the base and stop, or they may forget that the height tells how many equal layers are stacked. This worksheet rotates through short self-checking items so students practice the named skill from several angles. Students use the formula length times width times height, count base layers, find a missing dimension, compare prism volumes, and solve volume word problems. Support versions keep numbers friendlier while preserving the same reasoning. Standard and challenge versions add closer choices, less familiar values, or an extra comparison step. Encourage your child to name the operation, place value, unit, or property before calculating. If an answer is close but uses the wrong place, denominator, operation order, or unit, it is the trap.

What your child will learn

  • Use V = l x w x h
  • Count cubic units
  • Find missing dimensions
  • Compare prism volumes

Worked example

A prism that is 4 units long, 3 units wide, and 2 units high has volume 4 x 3 x 2 = 24 cubic units.

Common mistake

Calculating only the base area instead of multiplying by the height too.

Helpful hint

Find one layer first, then multiply by the number of layers.

Order of OperationsPlot Points on a Coordinate Plane

Questions parents ask

What is the most common mistake with volume of rectangular prisms?
Calculating only the base area instead of multiplying by the height too.
How can I help my child with volume of rectangular prisms?
Find one layer first, then multiply by the number of layers.
Are these 5th grade math worksheets free to print?
Yes. All 6 printable versions on this page are free to download and print, with no account needed.

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