Worksheets · Geometry

Surface area of a prism worksheet

A box has six faces in three matching pairs, so you work out three rectangles and double the total. Taking them in pairs is what stops one getting missed.

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Pick more than one for a sheet that mixes them.

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Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep

Sigma Prep · sigmaprep.io/worksheets

Name

Surface Area of a Prism

Date Period

Find each surface area, lateral area or missing length.

  1. Find the surface area of a rectangular prism

    Find the surface area.276
  2. Find the surface area.663
  3. Find the surface area.239
  4. Find the surface area.777
  5. Find the surface area.8610
  6. Find the surface area.825
  7. Find the surface area.5310
  8. Find the surface area.662
  9. Find the surface area.525
  10. Find the surface area.81010
  1. Find the lateral area or height of a prism

    The prism stands on its base: the top and bottom faces are the bases. Find the lateral area.12118
  2. A triangular prism is 2 long. The sides of its triangular bases are 15, 10 and 10. Find the lateral area.
  3. The bases of a prism are regular hexagons with sides of 4. The prism is 16 tall. Find the lateral area.
  4. The bases of a prism are regular pentagons with sides of 4. The prism is 13 tall. Find the lateral area.
  5. A prism's bases are triangles with sides 8, 10 and 10, and the prism is 4 tall. Find the lateral area.
  6. The bases of a prism are regular octagons with sides of 10. The prism is 6 tall. Find the lateral area.
  7. A triangular prism is 6 long. The sides of its triangular bases are 16, 7 and 10. Find the lateral area.
  8. A prism's bases are triangles with sides 3, 4 and 3, and the prism is 3 tall. Find the lateral area.
  9. The bases of a prism are regular hexagons with sides of 6. The prism is 11 tall. Find the lateral area.
  10. The bases of a prism are regular pentagons with sides of 9. The prism is 12 tall. Find the lateral area.

Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep

Sigma Prep · sigmaprep.io/worksheets

Name

Surface Area of a PrismAnswer keyVersion 1

Date Period

Find each surface area, lateral area or missing length.

  1. Find the surface area of a rectangular prism

    Find the surface area.276136
  2. Find the surface area.663144
  3. Find the surface area.239102
  4. Find the surface area.777294
  5. Find the surface area.8610376
  6. Find the surface area.825132
  7. Find the surface area.5310190
  8. Find the surface area.662120
  9. Find the surface area.52590
  10. Find the surface area.81010520
  1. Find the lateral area or height of a prism

    The prism stands on its base: the top and bottom faces are the bases. Find the lateral area.12118440
  2. A triangular prism is 2 long. The sides of its triangular bases are 15, 10 and 10. Find the lateral area.70
  3. The bases of a prism are regular hexagons with sides of 4. The prism is 16 tall. Find the lateral area.384
  4. The bases of a prism are regular pentagons with sides of 4. The prism is 13 tall. Find the lateral area.260
  5. A prism's bases are triangles with sides 8, 10 and 10, and the prism is 4 tall. Find the lateral area.112
  6. The bases of a prism are regular octagons with sides of 10. The prism is 6 tall. Find the lateral area.480
  7. A triangular prism is 6 long. The sides of its triangular bases are 16, 7 and 10. Find the lateral area.198
  8. A prism's bases are triangles with sides 3, 4 and 3, and the prism is 3 tall. Find the lateral area.30
  9. The bases of a prism are regular hexagons with sides of 6. The prism is 11 tall. Find the lateral area.396
  10. The bases of a prism are regular pentagons with sides of 9. The prism is 12 tall. Find the lateral area.540

Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep

How to do these

Find the surface area of a box 3 by 4 by 5

  1. The three different faces are 12, 15 and 20.
  2. They add to 47.
  3. Double it.

The answer is 94.

Where students go wrong

Adding six faces one at a time and losing one along the way. Three pairs, doubled, gets there with half the arithmetic.

Also called surface area of a rectangular prism or surface area of a box.

What you can put on this worksheet

Surface area of a prism
Find the surface area. — a rectangular prism 7 by 8 by 6 → 292
Lateral area of a prism
The prism stands on its base: the top and bottom faces are the bases. Find the lateral area. — a rectangular prism 2 by 6 by 8 → 128
Which measurement goes on the net
A box is 11 long, 7 wide and 3 tall. On its net, how long is the edge marked with a question mark? — the net of a box, labeled ? → 7

Questions about these worksheets

Yes. Every surface area of a prism sheet is free to print and free to download as a PDF. There is no account to make, no email to hand over and no limit on how many you take.

Yes. The answer key prints on a second page, and you can choose whether it shows each question beside its answer or just the answers in a list.

Yes. Print straight from the page, or download the PDF and print that. The sheet is laid out for paper rather than squeezed off a screen, so there is room to work under each question, and the answer key comes out on its own page.

Geometry is usually taken around 9th or 10th grade, though schools vary and plenty of students meet it earlier or later. Pick the difficulty rather than the grade: the easy level suits a first lesson on it, the hard level suits review before a test.

Yes, as many as you like. The questions are built fresh each time rather than picked from a fixed set of files, so pressing Generate gives a new sheet. That is what you want for a second class, a retake, or two students sitting next to each other.

That is the closest comparison, and Kuta Software is good software. It is also paid software you install on a computer. These worksheets run in a browser tab for free, with no account and nothing to install. Like Kuta, the surface area of a prism questions are generated when you ask for them rather than pulled from a fixed set of files, so two classes never get the same sheet, and the answer key comes with it.

Yes. There are two levels, and you can tick more than one for a sheet that mixes them, in which case the questions come out easiest first. The harder levels are not just larger numbers: they ask for something the easy ones do not.

You pick from 3: surface area of a prism, lateral area of a prism and which measurement goes on the net. Tick as many as you want and set how many of each, or let it spread them evenly.

Adding six faces one at a time and losing one along the way. Three pairs, doubled, gets there with half the arithmetic.