SURFACE AREA
CHOOSE SOLID • ENTER DIMENSIONS
INPUTS
Use NEXT for the answer, then WORKING for the full steps.
SURFACE AREA ANSWER
RESULT • FORMULA • QUICK CHECK
Cuboid surface area.
Use NEXT to see full working.
Formula appears here.
Use PREVIOUS to edit the input screen.
FULL WORKING
FORMULA • SUBSTITUTION • SQUARE UNITS
Use PREVIOUS for answer, or NEXT for formula help.
SURFACE AREA FORMULAS
CUBOID • CUBE
Cuboid: SA = 2(LW + LH + WH).
Cube: SA = 6s².
A cuboid has three pairs of equal rectangular faces.
A cube has six equal square faces.
CURVED SURFACE FORMULAS
CYLINDER • SPHERE • CONE
Cylinder: SA = 2πr² + 2πrh.
Sphere: SA = 4πr².
Cone: SA = πr² + πrl.
For a cone, l is the slant height.
WHAT THIS TOOL DOES
OUTSIDE AREA OF 3D SHAPES
This calculator finds the total outside area of common 3D solids.
Use it for cuboids, cubes, cylinders, spheres and cones.
It shows the formula, substituted values and final answer.
Surface area is measured in square units.
HOW TO USE
CHOOSE SOLID • ENTER DIMENSIONS • SOLVE
Choose the 3D solid first, then enter the dimensions shown.
For a cone, enter the radius and slant height.
Choose rounding, then press SOLVE or Enter.
Use PREV and NEXT to move through help without scrolling.
WORKED EXAMPLES
CUBOID • CUBE
Cuboid: 2(12×4 + 12×2 + 4×2) = 160.
Cube: 6 × 5² = 150.
These answers are areas, so the units are squared.
Example: cm inputs give cm² answers.
MORE EXAMPLES
SPHERE • CYLINDER
Sphere: 4π × 2² ≈ 50.27.
Cylinder: 2π × 3² + 2π × 3 × 7 ≈ 188.50.
Cylinder surface area includes both circular ends.
The curved side is added as 2πrh.
UNITS
SURFACE AREA USES SQUARE UNITS
Lengths in centimetres give an answer in square centimetres.
Lengths in metres give an answer in square metres.
Use the same length unit for every dimension.
Surface area uses units². Volume uses units³.
COMMON SEARCHES
SEARCH INTENT COVERAGE
surface area calculator for 3D shapes
cuboid surface area calculator
cylinder surface area calculator with working
sphere surface area formula GCSE
cone surface area calculator
MORE SEARCHES
NO COMPRESSED SEO BOXES
total surface area calculator online
3D shape surface area calculator
surface area formulas for GCSE maths
nets and surface area calculator
paint coverage and wrapping area calculator
WHO USES IT
STUDENTS • TEACHERS • PARENTS
Students use it for GCSE surface area and 3D geometry homework.
Teachers use it to show formula substitution and checking.
Tutors use it for revision on cubes, cones, cylinders and spheres.
Parents can use it to support homework and revision questions.
RELATED TOOLS
GEOMETRY AND SHAPE LINKS
Surface area belongs in the Teletext geometry calculators section.
FAQ
SURFACE AREA QUESTIONS
Is surface area the same as volume? No, it is outside area.
What units does it use? Use cm², m² or mm².
What is cone slant height? The diagonal side from rim to tip.
Does it show working? Yes, Screen 3 shows formula and substitution.
SEARCH TERMS
READABLE FINAL SEO PAGE
surface area calculator • total surface area calculator
cuboid surface area • cube surface area • cylinder surface area
sphere surface area • cone surface area • surface area with working
GCSE surface area calculator • KS3 surface area tool
3D solids surface area • nets and surface area • wrapping area