Your cart is empty.
Practice each question, then open the answer or worked solution.
A stage (platform) is made with 5 Math-Magic books. The volume of this stage is the same as __________ cm cubes.
Volume of 1 Math-Magic book = 540 cm cubes.
5 Math-Magic books are used to make the stage.
So, volume of the stage = Volume of 5 such Math-Magic books = 5 × 540 cm cubes = 2700 cm cubes
Guess the volume of these things in cm cubes.
i. A matchbox is about _________ cm cubes.
Length = 6 cm.
Breadth = 4 cm
And height = 1 cm
Volume = length × breadth × height
= 6 × 4 × 1
= 24 cm cubes.
ii. A geometry box is about _______ cm cubes.
Length = 16 cm.
Breadth = 6 cm
And height = 1 cm
Volume = length × breadth × height
= 16 × 6 × 1
= 96 cm cubes.
iii. An eraser is about __________ cm cubes.
Length = 2 cm.
Breadth = 1 cm
And height = 1 cm
Volume = length × breadth × height
= 2 × 1 × 1
= 2 cm cubes.
Matchbox Play:
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.
1. She used _____ matchboxes to make this stage.
Number of matchboxes in one layer = 14
Hence the number of matchboxes in 4 layers = 14 × 4 = 56
2. The volume of one matchbox is the same as 10 cm cubes. Then the volume of this stage is same as _____ cm cubes.
Volume of 1 matchbox = 10 cubic cm
Hence the volume of 56 matchboxes = 10 × 56 = 560 cubic cm.
If all these cubes are arranged in a line, how long will that line be? _____ cm.
Now, let’s assume the length of a matchbox is 4.5 cm.
All the matchboxes are arranged in a line.
Then the total length of the line made by all 56 matchboxes = 4.5 cm × 56 = 252 cm
Which has more volume — your Math-Magic book or Tanu’s platform?
The volume of Math-Magic book is 540 cm cubes, whereas the volume of the platform is 560 cm cubes.
Thus, Tanu’s platform has more volume as compared to the Math-Magic book.
With your friends, collect many empty matchboxes of the same size. Measure the sides and write here.
Use 56 matchboxes to make platforms of different heights. Fill this table.
The volume of each platform is equal to ________matchboxes.
The volume of each platform is equal to 56 matchboxes.
Practice time:
Mohan arranged his matchboxes like this.
1. How many matchboxes did he use to make it? What is its volume in matchboxes? ________ Matchboxes.
Mohan used 30 matchboxes.
Thus, total volume of the arrangement in terms of matchboxes = 16 + 9 + 4 + 1 = 30