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Question
Mohan arranged his matchboxes like this. 
• How many matchboxes did he use to make it? What is its volume in matchboxes? ________ matchboxes.
• Collect empty matchboxes. Arrange them in an interesting way. Make a deep drawing of it.
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Solution
• In the bottom layer, we can see that there are 4 matchboxes in length and 4 in breadth.
So, the bottom layer has 16 matchboxes.
In the layer above the bottom, we can see that there are 3 matchboxes in length and 3 in breadth.
So, the layer above bottom has 9 matchboxes.
Now, the second layer from the top has 2 matchboxes in length and 2 matchboxes in breadth.
So, this layer has 4 matchboxes.
The top layer has only 1 matchbox.
Thus, total volume of the arrangement in terms of matchboxes = 16 + 9 + 4 + 1 = 30
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RELATED QUESTIONS
Now make your own measuring glass using 35 marbles.
Take a glass of water and mark the level of the water as 0. Then put in 5 marbles and mark the level of the water as 5 M.
Again drop 5 marbles and mark the level of the water as 10 M. Likewise make the markings for 15 M, 20 M, 25 M, 30 M, and 35 M.
Now put each thing in the measuring glass and check your guess.
Try with different things like a matchbox, a stone, etc., and fill the table.
| Name of the thing | Its volume (nearly how many marbles?) |
Use your measuring bottle to find out:
- What is the volume of 6 marbles? ________ mL.
Guess how many litres of water your body will push up?!
Guess the volume of these things in cm cubes.
- A matchbox is about __________ cm cubes.
Use your measuring bottle to find out:
- The volume of 32 one-rupee coins? _________ mL.
Guess the volume of these things in cm cubes.
- An eraser is about __________ cm cubes.
Tanu is making a stage with matchboxes.
She first puts 14 matchboxes like this in the first layer.
She makes 4 such layers and her stage looks like this.
- The volume of one matchbox is the same as 10 cm cubes. Then the volume of this stage is the same as ________ cm cubes.
Tanu is making a stage with matchboxes.
She first puts 14 matchboxes like this in the first layer.
She makes 4 such layers and her stage looks like this.
- If all these cubes are arranged in a line, how long will that line be? _________ cm.
Mohan arranged his matchboxes like this.
- How many matchboxes did he use to make it? What is its volume in matchboxes? ________ matchboxes.
So total ______ cm cubes will fit n the Math-Magic book.
