SURFACE AREA CALCULATOR FOR 3D SHAPES
Cuboid, cube, cylinder, sphere and cone surface area formulas with clear working
Enter dimensions and calculate total outside area for common 3D solids
SHAPE
CUB
Choose the 3D shape first
ROUNDING
2DP
Result rounding only
LENGTH
A
Enter a number
WIDTH
B
Enter a number
HEIGHT
C
Enter a number
WORKING
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—
—
—
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SURFACE AREA
READY
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PAGE SUMMARY
Use this calculator to work out the total surface area of common 3D shapes.
It covers cuboids, cubes, cylinders, spheres and cones with formula steps.
Useful for school maths, GCSE revision, homework checks and geometry practice.
Curved solids use π and the result is surface area in square units.
See formulas, examples and extra surface area help on the next pages.
Related maths pages are linked below for area, perimeter, volume and more Teletext-Tools pages.
HOW TO USE
Choose a 3D shape, enter the measurements shown and press SOLVE.
Only the measurements needed for that solid are shown.
Curved solids use π and the result is rounded to your chosen setting.
CUBOID / CUBE
Cuboid: SA = 2(LW + LH + WH)
Cube: SA = 6s²
Example cuboid: 8, 5, 3 gives 158
CYLINDER
SA = 2πr² + 2πrh
This includes both circular ends and the curved outer surface.
SPHERE
SA = 4πr²
Example: r = 3 gives about 113.10
CONE
SA = πr² + πrl
l is the slant height, not the vertical height.
This adds the base circle and the curved side.
SQUARE UNITS
Surface area is measured in square units such as cm² or m².
That makes it different from volume, which uses cubic units.
PAGE 2/4
SURFACE AREA OF 3D SHAPES
Surface area means the total outside area of a solid shape.
This page helps calculate surface area for common 3D solids quickly.
It is useful for school maths, GCSE revision and homework checking.
WHEN IT MATTERS
Surface area is useful in packaging, nets, wrapping and paint coverage questions.
It often appears alongside volume in geometry topics.
COMMON SEARCHES
surface area calculator for 3d shapes
cylinder surface area calculator with working
sphere surface area formula GCSE
cone surface area calculator
WHY WORKING HELPS
Seeing the substitution step makes it easier to check the formula and dimensions.
It also helps compare flat-faced solids with curved surfaces.
PAGE 3/4
WORKED EXAMPLES
Cuboid: 2(12×4 + 12×2 + 4×2) = 160
Cube: 6 × 5² = 150
Sphere: 4π × 2² ≈ 50.27
Cylinder: 2π × 3² + 2π × 3 × 7 ≈ 188.50
WHY THIS PAGE HELPS
It gives a quick answer and a clear surface area method.
It helps users move between area, volume and curved surface formulas more easily.
It also keeps the calculator clean on Page 1 while keeping strong extra help available.
RELATED TELETEXT-TOOLS PAGES
LOOP BACK
Use NEXT to return to Page 1 and keep calculating.
This keeps the calculator strong on desktop, laptop, tablet and phone screens.
PAGE 4/4
SHAPE
CUB
Choose the 3D shape first
ROUNDING
2DP
Result rounding only
LENGTH
A
Enter a number
WIDTH
B
Enter a number
HEIGHT
C
Enter a number
WORKING
—
—
—
—
—
SURFACE AREA
READY
—
PAGE 1/4
HOW TO USE
Choose a 3D shape, enter the measurements shown and press SOLVE.
Curved solids use π.
CUBOID / CUBE
Cuboid: SA = 2(LW + LH + WH)
Cube: SA = 6s²
CYLINDER
SA = 2πr² + 2πrh
SPHERE / CONE
Sphere: SA = 4πr²
Cone: SA = πr² + πrl
EXAMPLES
Cuboid 8,5,3 = 158
Cube 4 = 96
Sphere r=3 ≈ 113.10
UNITS
Surface area uses square units such as cm².
PAGE 2/4
SURFACE AREA OF 3D SHAPES
Surface area means the total outside area of a solid shape.
This page helps calculate surface area for common 3D solids quickly.
WHEN IT MATTERS
Surface area appears in packaging, nets, paint coverage and wrapping questions.
It is often studied alongside volume.
COMMON SEARCHES
surface area calculator for 3d shapes
cylinder surface area calculator with working
sphere surface area formula GCSE
cone surface area calculator
WHY WORKING HELPS
Seeing the formula and substitution step makes it easier to check dimensions.
It also helps compare shapes with flat faces and curved surfaces.
PAGE 3/4
WHY THIS PAGE IS USEFUL
It keeps the calculator clear on Page 1 and moves the extra guide content here.
This makes the tool easier to use on desktop, laptop, tablet and phone screens.
WORKED VALUES
Cuboid 12,4,2 = 160
Cube 5 = 150
Cylinder r=3,h=7 ≈ 188.50
PAGE 4/4