Small practice
brighter futures.
Checking sign-in status
Menu

Geometry practice

Solid Surface Area Worksheets

Create surface area worksheets for prisms, pyramids, cylinders and cones, with labelled diagrams and worked answer keys.

Ready-made English PDF · fixed settings

Worksheet · LetterWorksheet · A4
Customize worksheet ↓
With answer key

Customization below makes a separate PDF.

First page of the solid surface area worksheets printable worksheetOpen full-size sample (first page)

Fixed English ready-made files. Custom settings below apply only to the configured PDF.

Ready to print

Start with a ready-made worksheet

Use the labelled dimensions, include every exposed face, and round only the final answer to hundredths.

Download the practice pages alone, or include a separate answer key or teacher model. Longer activities may use more than one page.

US Letter

Student worksheetWorksheet with answers

A4

Student worksheetWorksheet with answers
Customize this worksheet

Paper sizes and printing help · More geometry activities

Account for every outside face

The diagrams distinguish base measurements, perpendicular solid heights and face slant heights. Use the printed labels because the sketches are not to scale.

Start with a focused shape family

All prisms, pyramids, cylinders, and cones · Cylinders and cones · Prisms and cylinders · Prisms and pyramids · Pyramids and cones

Select 15 problems with the full mix to include every solid type. Shorter worksheets sample from the shapes you select.

Learning objective

What this activity builds

Find the total external surface area of a closed solid from its base and lateral faces.

Worked example

A closed cylinder has radius 3 cm and height 5 cm. What is its surface area?

48 pi cm², approximately 150.80 cm².

Add two circular bases and the curved surface: 2 pi(3²) + 2 pi(3)(5).

Teaching notes

Make the practice count

  • Separate base area from lateral area.
  • A pyramid face uses its slant height; the solid height is perpendicular to the base.
  • Choose a single solid before mixing shape families.

Make it yours

Customize the practice

Choose your options, update the preview, then download the exact same pages.

Choose the solid types, units and problem count. Every preview and download uses the same labelled dimensions and worked solutions.

Worksheet settings

Shapes
Units
Page note and reproducible seed

The same settings and seed make the same questions. Shared links include your page note; leave personal information out.

Configured PDF · Surface Area of Solids · US Letter

Preview ready. Download includes these exact pages.

3 student pages
Enlarged pages scroll. PDF size stays the same.
Math SheetNameScoreTeacherDateSurface Area of SolidsFind the total surface area. sqrt(n) means the square root of n. Use calculator pi, retain intermediate precision, and round the final answer to the nearesthundredth.1.Right prism with a regular hexagonal base: Find the total surface area.base sbase ap.perp. Hnot to scaleGiven: regular base side = 8 ft; base apothem = 8sqrt(3)/2 ft;prism height = 15 ftFormula and work:2.Right square prism: Find the total surface area.base sperp. Hnot to scaleGiven: base side = 5 yd; prism height = 7 ydFormula and work:Use calculator pi. Round final answers to the nearest hundredth.math-sheet.comPage 1 of 3
Math SheetNameScoreTeacherDateSurface Area of SolidsFind the total surface area. sqrt(n) means the square root of n. Use calculator pi, retain intermediate precision, and round the final answer to the nearesthundredth.3.Right cylinder: Find the total surface area.dperp. Hnot to scaleGiven: diameter = 20 in; cylinder height = 9 inFormula and work:4.Right pyramid with a regular hexagonal base: Find the total surface area.base sbase ap.perp. Hslant lnot to scaleGiven: regular base side = 7 mm; base apothem = 7sqrt(3)/2mm; perpendicular height = 18 mm; face slant height =sqrt((18)^2+(7sqrt(3)/2)^2) mmFormula and work:Use calculator pi. Round final answers to the nearest hundredth.math-sheet.comPage 2 of 3
Math SheetNameScoreTeacherDateSurface Area of SolidsFind the total surface area. sqrt(n) means the square root of n. Use calculator pi, retain intermediate precision, and round the final answer to the nearesthundredth.5.Right prism with a right-triangle base: Find the total surface area.base abase bbase cperp. Hnot to scaleGiven: base leg = 8 cm; base height = 15 cm; basehypotenuse = 17 cm; prism length = 11 cmFormula and work:6.Right cone: Find the total surface area.dperp. Hslant lnot to scaleGiven: diameter = 8 ft; perpendicular height = 14 ft; slantheight = sqrt((8/2)^2+(14)^2) ftFormula and work:Use calculator pi. Round final answers to the nearest hundredth.math-sheet.comPage 3 of 3

A useful next step

Related activities

First page preview: Solid Volume Worksheets

Geometry

Solid Volume Worksheets

Practice the volumes of prisms, pyramids, cylinders and cones with selectable base shapes, units and worked answer keys.

Preview and download