Try the new Google Books
Check out the new look and enjoy easier access to your favorite features
Try the new Google Books
Check out the new look and enjoy easier access to your favorite features
Try the new Google Books
Check out the new look and enjoy easier access to your favorite features
Go to Surface Area or Volume.
A cuboid is a box-shaped object.
It has six flat faces and all angles are right angles.
And all of its faces are rectangles.
It is also a prism because it has the same cross-section along a length. In fact it is a rectangular prism.
Examples of Cuboids
Cuboids are very common in our world, from boxes to buildings we see them everywhere. We can even fit them inside other cuboids!
A building
slot as a handle
cuboid room
Boxes for model trains
Now that's just silly!
Square Prism
When at least two of the lengths are equal it can also be called a square prism.
(Note: we can still call it a rectangular prism if we want!)
Cube
When all three lengths are equal it is called a cube (or hexahedron)
and each face is a square.
A cube is still a prism.
And a cube is one of the Platonic Solids.
So:- A cube is just a special case of a square prism, and
- A square prism is just a special case of a rectangular prism, and
- They are all cuboids!
Note: The name "cuboid" comes from "cube" and -oid (which means "similar to, or resembling") and so says "it is like a cube".
Another use of -oid is when we talk about the Earth being a spheroid (not exactly a sphere, but close).
Surface Area
The surface area is found using the formula:
Area = 2 × Width × Length + 2 × Length × Height + 2 × Width × Height
Which can be shortened to:
A = 2wl + 2lh + 2hw
| A | = | 2wl + 2lh + 2hw |
| = | 2×4×10 + 2×10×5 + 2×5×4 | |
| = | 80 + 100 + 40 | |
| = | 220 |
The volume of a cuboid is found using the formula:
Volume = Length × Width × Height
Which can be shortened to:
V = l × w × h
Or more simply:
V = lwh
Copyright © 2017 MathsIsFun.com