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
621.3k+ 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 $length \times width \times height$
Recently Updated Pages
Master Class 12 Economics: Engaging Questions & Answers for Success

Master Class 12 English: Engaging Questions & Answers for Success

Master Class 12 Social Science: Engaging Questions & Answers for Success

Master Class 12 Maths: Engaging Questions & Answers for Success

Master Class 12 Physics: Engaging Questions & Answers for Success

Master Class 7 Science: Engaging Questions & Answers for Success

Trending doubts
How many crores make 10 million class 7 maths CBSE

The HCF of 24721284 and a third number N is 12 If their class 7 maths CBSE

Full Form of IASDMIPSIFSIRSPOLICE class 7 social science CBSE

List of coprime numbers from 1 to 100 class 7 maths CBSE

Write a short note on the great bath of MohenjoDar class 7 social science CBSE

The plural of Chief is Chieves A True B False class 7 english CBSE


