The Cuboid

Surface Area of Cuboid

We know that a cuboid is made up of six rectangular faces.
We also know that these six faces come in three pairs.

Looking at the image to the left we can see the:
area of the front face is b x h (bh)
This is the same as the area of the back face so we multiply it by 2 - 2bh
We can see the area of the side face is l x h (lh)
This is the same as the other side of the cuboid so we multiply it by 2 - 2lh
We can see the area of the bottom face is l x b (lb)
This is the same as the top face, so we multiply it by 2 - 2lb

The surface area is the area of all the shapes making the three dimensional shape, so we must add all these areas together:

2lh + 2lb + 2bhUnits Squared



Volume of a Cuboid

Looking at this image, we can see that there are three individual measurements on a cuboid.

• Length
• Breadth/Width
• Height

The volume is:
Length x Breadth x Height
or to abbreviate it further:
V = lbhUnits Cubed

Return from this page on the Cuboid to our other 3d Geometric Shapes
or
Return to our k6 geometric shapes home page to explore more great basic geometry