A container is 24m long ,9m wide and 8m high .how many books can it hold if each book is 20cm long and 6cm thick
The container is 240 cm long, 90 cm wide and 80 cm high.
Volume of container/divided by volume of book = how many books
Missing one dimension of the books.
The answer for the question
I need the simplification of the work
To determine the number of books that can fit inside the container, we need to calculate the volume (in cubic meters) of the container and divide it by the volume of an individual book (in cubic meters).
1. Calculate the volume of the container:
Volume = Length × Width × Height
Volume = 24m × 9m × 8m
2. Convert the volume to cubic centimeters (since the dimensions of the books are given in centimeters):
Volume = (24m × 100cm/m) × (9m × 100cm/m) × (8m × 100cm/m)
Note that 1 meter is equal to 100 centimeters.
3. Calculate the volume of each book in cubic centimeters:
Volume of each book = Length × Width × Height
Volume of each book = 20cm × 6cm × 6cm
Since the thickness of the book is given as 6cm, we multiply Length and Width by 6 to account for the height/thickness of the books stacked on top of each other.
4. Divide the volume of the container (in cubic centimeters) by the volume of each book (in cubic centimeters) to get the total number of books that can fit:
Number of books = Volume of container / Volume of each book
By following these steps and plugging in the given dimensions, you should be able to calculate the number of books that can fit inside the container.