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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
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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}$
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