Surface Area Calculator

Find the total surface area of boxes, cubes, cylinders, spheres, cones, pyramids and hemispheres.

Shape	Rectangular box
Length	10
Width	5
Height	4
Unit (optional)	cm

Shape

Length

Width

Height

Unit (optional)

Rectangular box surface area

220cm²

Surface area = 2(lw + lh + wh) = 220 cm².

Your box

The net: the box unfolded flat

Six rectangles in three matching pairs: SA = 2(lw + lh + wh).

1
Formula
SA = 2(lw + lh + wh)
2
With your measurements
Length = 10, Width = 5, Height = 4 → 220 cm²

About the Surface Area Calculator

Choose a solid (box, cube, cylinder, sphere, cone, pyramid and more) and enter its dimensions. The calculator gives the total surface area with the formula and working.

Surface area is the total area of all a solid's faces: what you'd need to paint it or wrap it. It's in square units, like area.

The formula

Box: 2(lw + lh + wh); Cylinder: 2πr(r + h); Sphere: 4πr²

Worked example

Box 10 × 5 × 4

2 × (50 + 40 + 20) = 220 square units

Questions people ask

Does cylinder surface area include the ends?

Yes, this is the total area: two circles plus the curved side (2πrh).

How much paint do I need?

Divide the surface area by the coverage on the tin (for example 10 m² per litre), and add a second coat.

Surface area or volume?

Surface area is the outside covering in square units; volume is the space inside in cubic units.