Two cubes are joined together to form a bigger cube true or false

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Two cubes are joined together to form a bigger cube true or false

Try the new Google Books

Check out the new look and enjoy easier access to your favorite features

Two cubes are joined together to form a bigger cube true or false

Try the new Google Books

Check out the new look and enjoy easier access to your favorite features

Two cubes are joined together to form a bigger cube true or false

Go to Surface Area or Volume.

Two cubes are joined together to form a bigger cube true or false

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!

Two cubes are joined together to form a bigger cube true or false

A building

Two cubes are joined together to form a bigger cube true or false
A box with a

slot as a handle

Two cubes are joined together to form a bigger cube true or false
Cuboids in a

cuboid room

Two cubes are joined together to form a bigger cube true or false

Boxes for model trains

Two cubes are joined together to form a bigger cube true or false

Now that's just silly!

Two cubes are joined together to form a bigger cube true or false

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!)

Two cubes are joined together to form a bigger cube true or false

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

Two cubes are joined together to form a bigger cube true or false

Which can be shortened to:

A = 2wl + 2lh + 2hw

Two cubes are joined together to form a bigger cube true or false

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

 

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