If 2 cubes of dimension 2 by 2 by 2 are placed side by side. What would the dimensions of the resulting cuboid be?
Answer
605.4k+ views
Hint: Suppose we have 2 boxes, glue them by placing side by side, we can see that there will be a big cube having greater length. Now find the dimension of that cuboid.
Complete step-by-step answer:
So, we have 2 cubes having dimensions $2 \times 2 \times 2$ i.e., length of cube = 2 units, width of cube = 2 units, height of cube = 2 units.
Now, we place them side by side as shown in the figure.
Now you can see the length of 2 boxes will be added i.e., 2+2=4, Therefore length of new cuboid = 4 units, width of cuboid = 2 units and height of cuboid = 2 units
Hence, the new dimension is $4 \times 2 \times 2$.
Additional Information: Cube and cuboid are three-dimensional shapes which consist of six faces, eight vertices and twelve edges. The primary difference between them is that a cube has all its sides equal whereas the length, width and height of a cuboid are different. Both shapes look almost the same but have different properties.
Cube: A cube is a three-dimensional shape which is defined as an XYZ plane. It has six faces, eight vertices and twelve edges. All the faces of the cube are in square shape and have equal dimensions.
Cuboid: A cuboid is also a polyhedron having six faces, eight vertices and twelve edges. The faces of the cuboid are parallel. But not all the faces of a cuboid are equal in dimensions.
Note: While solving imagine the picture in your mind and consider the length, width and height of the cube correctly. The format of dimension of cube or cuboid is $length \times width \times height$
Complete step-by-step answer:
So, we have 2 cubes having dimensions $2 \times 2 \times 2$ i.e., length of cube = 2 units, width of cube = 2 units, height of cube = 2 units.
Now, we place them side by side as shown in the figure.
Now you can see the length of 2 boxes will be added i.e., 2+2=4, Therefore length of new cuboid = 4 units, width of cuboid = 2 units and height of cuboid = 2 units
Hence, the new dimension is $4 \times 2 \times 2$.
Additional Information: Cube and cuboid are three-dimensional shapes which consist of six faces, eight vertices and twelve edges. The primary difference between them is that a cube has all its sides equal whereas the length, width and height of a cuboid are different. Both shapes look almost the same but have different properties.
Cube: A cube is a three-dimensional shape which is defined as an XYZ plane. It has six faces, eight vertices and twelve edges. All the faces of the cube are in square shape and have equal dimensions.
Cuboid: A cuboid is also a polyhedron having six faces, eight vertices and twelve edges. The faces of the cuboid are parallel. But not all the faces of a cuboid are equal in dimensions.
Note: While solving imagine the picture in your mind and consider the length, width and height of the cube correctly. The format of dimension of cube or cuboid is $length \times width \times height$
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