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: 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 + 2bh Units Squared
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 = 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.