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
607.2k+ 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
Three beakers labelled as A B and C each containing 25 mL of water were taken A small amount of NaOH anhydrous CuSO4 and NaCl were added to the beakers A B and C respectively It was observed that there was an increase in the temperature of the solutions contained in beakers A and B whereas in case of beaker C the temperature of the solution falls Which one of the following statements isarecorrect i In beakers A and B exothermic process has occurred ii In beakers A and B endothermic process has occurred iii In beaker C exothermic process has occurred iv In beaker C endothermic process has occurred

Master Class 7 Social Science: Engaging Questions & Answers for Success

Master Class 7 Science: Engaging Questions & Answers for Success

Master Class 7 Maths: Engaging Questions & Answers for Success

Class 7 Question and Answer - Your Ultimate Solutions Guide

Master Class 9 Social Science: Engaging Questions & Answers for Success

Trending doubts
Full Form of IASDMIPSIFSIRSPOLICE class 7 social science CBSE

What are the factors of 100 class 7 maths CBSE

One lakh eight thousand how can we write it in num class 7 maths CBSE

The founder of Jainism was A Rishabhadev B Neminath class 7 social science CBSE

When phenolphthalein is added toNaOH the colour of class 7 chemistry CBSE

Find HCF and LCM of 510 and 92 by applying the prime class 7 maths CBSE


