Surface area and volume worksheets with answers pdf

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Find here an unlimited supply of free, printable worksheets for the volume and surface area of cubes & rectangular prisms, including with fractional edge lengths. You can control the number of problems, workspace, border around the problems, and more.

The problems include a picture of a prism with its dimensions, and ask for either its volume, surface area, or for the edge length of a cube. These worksheets are especially meant for grades 5 and 6 when students study volume of prisms, but certain types of problems you can create suit best grades 7-9.

You can also make problems where the volume or surface area is given along with some dimensions, and the students need to calculate either the volume or the surface area of the prism. These types of problems are meant for 7th-9th grade as they are more challenging and may require the use of an equation.


Basic instructions for the worksheets

Each worksheet is randomly generated and thus unique. The answer key is automatically generated and is placed on the second page of the file.

You can generate the worksheets either in html or PDF format — both are easy to print. To get the PDF worksheet, simply push the button titled "Create PDF" or "Make PDF worksheet". To get the worksheet in html format, push the button "View in browser" or "Make html worksheet". This has the advantage that you can save the worksheet directly from your browser (choose File → Save) and then edit it in Word or other word processing program.

Sometimes the generated worksheet is not exactly what you want. Just try again! To get a different worksheet using the same options:

  • PDF format: come back to this page and push the button again.
  • Html format: simply refresh the worksheet page in your browser window.

Example worksheets


Find the volume or surface area of rectangular prisms (grade 5)

  View in browser     Create PDF


Problem solving: find the volume/
surface area/edge length of cube
(for 6th/7th grade)

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Find the volume of a rectangular prism with fractional edge lengths, using fraction unit cubes (grade 6; halves, thirds, and fourths; the whole number part is max 3)

View in browser     Create PDF


Find the volume of a rectangular prism with fractional edge lengths
(grade 6; challenge)

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Here are some more worksheets about volume and surface area (in html format).

  • Find the volume of a prism when its dimensions are given or edge length of a cube when its volume is given (grade 5; easy)
  • Find the volume or surface area of rectangular prisms (includes decimal numbers; grades 5-6)
  • Find the volume of a rectangular prism with fractional edge lengths (halves, thirds, and fourths; the whole number part is max 5; grade 6)
  • Problem solving: find the volume or surface area when either surface area or volume and some dimensions are given (for 8th/9th grade as you will need to solve an equation)

See also

Interactive 3-Dimensional Shapes (Solids)
With this interactive 3-D shape explorer, you can visualize and rotate the following solids: cube, cuboid (a.k.a rectangular prism), tetrahedron, square pyramid, octahedron, triangular prism, and cylinder. Drag the shape with the mouse to rotate it. See the net of each solid (click the button "unfold"). The activity allows students to easily count the number of faces, edges, and vertices of the solids.

Interactive Unit Cubes Tool
This unit cube activity helps students understand 3-dimensional space, visualize solids in it, and to understand the basic idea of volume. It's most useful for grades 3-5. You're given a shape made with unit cubes on the left and you need to build the same shape in the workarea on the right.


The generator

Using the worksheet generator, you can control the type of problems, number of problems, maximum number used, the types of fractions used, workspace, border around the problems, and additional instructions.

Volume/Surface area of rectangular prisms worksheet generator
Columns:   Rows: (These determine the number of problems)

Number of empty lines below the problem (workspace)

Page orientation:
Portrait   Landscape
(PDF worksheet only; the orientation of an html worksheet can be set in the print preview of the browser)

Font:   Font Size: 

Cell Padding:

Border:       Bordercolor:

Additional title & instructions  (HTML allowed)

Brain Quest Workbook: Grade 6

The book boasts 300 pages jam-packed with curriculum-based activities and exercises in every subject, with a focus on math and language arts. Original full-color illustrations throughout give the book a bright, lively style that will appeal to older kids. It is engaging, user-friendly, and written to make schoolwork fun. Sixth graders will delve into research and analysis, metaphor and meaning, ratios and proportions, expressions and equations, and geometry. The workbook covers spelling and vocabulary, writing, social studies, science, and more.

=> Learn more

See more Brain Quest workbooks at Amazon

What is surface area and volume?

The surface area of any given object is the area or region occupied by the surface of the object. Whereas volume is the amount of space available in an object. In geometry, there are different shapes and sizes such as sphere, cube, cuboid, cone, cylinder, etc. Each shape has its surface area as well as volume.

How do you find the volume of all shapes?

For example, the volume of the cylinder can be measured using the formula πr2h, where r = d⁄2. ... Volume Formulas of Various Geometric Figures..

How do you figure surface area?

Surface area is the sum of the areas of all faces (or surfaces) on a 3D shape. A cuboid has 6 rectangular faces. To find the surface area of a cuboid, add the areas of all 6 faces. We can also label the length (l), width (w), and height (h) of the prism and use the formula, SA=2lw+2lh+2hw, to find the surface area.

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