The length, breadth and height of a notebook are 10 cm, 6 cm and 5 cm respectively. What is the volume of a pack of 12 such notebooks?
Answer
362.1k+ views
Hint: Find the volume of 1 notebook first and then the volume of 12 notebooks will be 12 times the volume of 1 notebook.
Complete step-by-step answer:
According to the question, the length, breadth and height of a notebook are 10 cm, 6 cm and 5 cm respectively. So we have:
$ \Rightarrow l = 10cm,b = 6cm,h = 5cm$
Thus we can conclude that the notebook is of cuboid shape. And we know that the volume of cuboid is given as:
$ \Rightarrow V = l \times b \times h$
So, using this formula and substituting values, volume of 1 notebook is:
$
\Rightarrow V = 10 \times 6 \times 5, \\
\Rightarrow V = 10 \times 30, \\
\Rightarrow V = 300c{m^3} \\
$
Thus, the volume of 1 notebook is 300 cubic cm. We have to calculate the volume of a pack having 12 notebooks.
So, the volume of 12 notebooks $ = 12 \times 300 = 3600c{m^3}$.
Note:
We can also consider the pack of 12 notebooks as 1 big cuboid having the same length and breadth but height increased by 12 times. So, we have:
$ \Rightarrow l = 10cm,b = 6cm,h = 12 \times 5 = 60cm$
The volume of the pack $ = 10 \times 6 \times 60 = 3600c{m^3}$
Complete step-by-step answer:
According to the question, the length, breadth and height of a notebook are 10 cm, 6 cm and 5 cm respectively. So we have:
$ \Rightarrow l = 10cm,b = 6cm,h = 5cm$
Thus we can conclude that the notebook is of cuboid shape. And we know that the volume of cuboid is given as:
$ \Rightarrow V = l \times b \times h$
So, using this formula and substituting values, volume of 1 notebook is:
$
\Rightarrow V = 10 \times 6 \times 5, \\
\Rightarrow V = 10 \times 30, \\
\Rightarrow V = 300c{m^3} \\
$
Thus, the volume of 1 notebook is 300 cubic cm. We have to calculate the volume of a pack having 12 notebooks.
So, the volume of 12 notebooks $ = 12 \times 300 = 3600c{m^3}$.
Note:
We can also consider the pack of 12 notebooks as 1 big cuboid having the same length and breadth but height increased by 12 times. So, we have:
$ \Rightarrow l = 10cm,b = 6cm,h = 12 \times 5 = 60cm$
The volume of the pack $ = 10 \times 6 \times 60 = 3600c{m^3}$
Last updated date: 22nd Sep 2023
•
Total views: 362.1k
•
Views today: 7.62k
Recently Updated Pages
What do you mean by public facilities

Please Write an Essay on Disaster Management

Paragraph on Friendship

Slogan on Noise Pollution

Disadvantages of Advertising

Prepare a Pocket Guide on First Aid for your School

Trending doubts
How do you solve x2 11x + 28 0 using the quadratic class 10 maths CBSE

What is the IUPAC name of CH3CH CH COOH A 2Butenoic class 11 chemistry CBSE

Drive an expression for the electric field due to an class 12 physics CBSE

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

Difference Between Plant Cell and Animal Cell

The dimensions of potential gradient are A MLT 3A 1 class 11 physics CBSE

Define electric potential and write down its dimen class 9 physics CBSE

Why is the electric field perpendicular to the equipotential class 12 physics CBSE
