Answer
Verified
425.4k+ 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}$
Recently Updated Pages
The branch of science which deals with nature and natural class 10 physics CBSE
The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths
Define absolute refractive index of a medium
Find out what do the algal bloom and redtides sign class 10 biology CBSE
Prove that the function fleft x right xn is continuous class 12 maths CBSE
Find the values of other five trigonometric functions class 10 maths CBSE
Trending doubts
Difference Between Plant Cell and Animal Cell
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
Change the following sentences into negative and interrogative class 10 english CBSE
Summary of the poem Where the Mind is Without Fear class 8 english CBSE
Give 10 examples for herbs , shrubs , climbers , creepers
Write an application to the principal requesting five class 10 english CBSE
What organs are located on the left side of your body class 11 biology CBSE
What is the z value for a 90 95 and 99 percent confidence class 11 maths CBSE