CBSE Class 5 Mathematics Chapter 9: Boxes and Sketches NCERT Solutions

Yes, both the shapes drawn by Buddha will fold into a cube because they are valid nets of a cube. A net is a 2D pattern that can be folded to form a 3D shape.

Here is another shape that can fold into a cube:

We know that each face of a cube is a square. If we assume the squared sheet has squares of 1 cm side length, then the area of each small square face is calculated as side × side. Therefore, the area of each face of the cube is $1\; \backslash text\{\; cm\}\; \backslash times\; 1\; \backslash text\{\; cm\}\; =\; 1\; \backslash text\{\; square\; cm\}$.

Here is a shape made of squares that will NOT fold into a cube because the squares are arranged in a way that does not form a closed box:

Things around us that look like a cube include:

• Dice used in games
• Sugar cubes
• Ice cubes
• Some small boxes (like for jewelry or small gifts)
• Rubik's Cube

We need to match each 2D net (the flat shape) with the 3D box it will fold into. Let's analyze each net:

• The first net (a row of 4 squares with one square attached above and one below the second square) folds into a standard rectangular box.
• The second net (a row of 3 squares with two squares attached above the middle square and one below the middle square) folds into a box with a lid.
• The third net (a row of 3 squares with one square attached above the first square and one below the third square) folds into a different type of rectangular box.
• The fourth net (a row of 4 squares with one square attached above the second square and one below the third square) folds into a box where the top and bottom faces are formed by the squares attached to the sides of the row.

Matching the nets to the boxes:

• Net 1 matches Box A (a simple rectangular prism).
• Net 2 matches Box D (a box with a separate lid).
• Net 3 matches Box B (another rectangular prism).
• Net 4 matches Box C (a rectangular prism with specific face arrangements).