The cuboid is also referred to as a rectangular prism. If your student does not understand why a cube, is also a prism I highly recommend you go to our explanation.
To be comfortable calculating volume and surface area, your child should be comfortable with multiplication as well as addition.
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:
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:
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:
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 + 2bh Units Squared
Looking at this image, we can see that there are three individual measurements on a cuboid.
The volume is:
Length x Breadth x Height
or to abbreviate it further:
V = lbh Units Cubed
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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.