Volume with Unit Cubes: Layers and Hidden Cubes
Print 5th grade volume worksheets: count unit cubes in layers, find hidden cubes, and use length x width x height. 12 versions with answer keys.
Worksheet version 1 of 12. The answer key matches the current version.
Each small cube is 1 cubic unit. Every prism is built from complete layers, so cubes you cannot see are still there behind and under the ones you can.
1. Each cube is 1 cubic unit. The hidden cubes fill every layer. What is the volume?
Volume = ____ cubic units
2. How many cubes are in each layer? How many layers are there? Find the volume.
____ cubes per layer × ____ layers = ____ cubic units
3. The prism is made of complete layers. How many cubes can you see? How many are hidden?
Can see: ____ Hidden: ____ Total: ____
4. The bottom layer is filled. How many cubes will fill the whole box?
____ × ____ = ____ cubic units
5. Each cube is 1 cubic centimeter. The prism is 5 cm long, 3 cm wide and 3 cm tall. Find the volume.
V = ____ × ____ × ____ = ____ cm³
6. Find the volume of each prism. What is the total volume of the two prisms?
____ + ____ = ____ cubic units
About this worksheet
Volume is the number of unit cubes that fill a solid with no gaps or overlaps. A drawing only shows the front, top and right side of a prism, so some cubes are hidden. Count the cubes in one layer (length × width), then multiply by the number of layers (height). That is why the volume of a rectangular prism is length × width × height.
Each version has six problems: count the cubes, use layers, find how many cubes are hidden, fill an empty box from its bottom layer, measure in cubic centimeters, and add the volumes of two prisms. Print a student sheet, then choose “Show answer key” to print the matching key.
Practice aligned to CCSS 5.MD.C.3 and CCSS 5.MD.C.4.
More 5th grade practice: plotting points on a coordinate grid, area with unit squares, measurement and data worksheets and 5th grade math worksheets.
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