Question

How many chalk each of volume 8 cu,cm can be packed in a box measuring 12 cm by 7 cm by 2 cm ? Please tell answer

Answer 1

$\huge\mathbb{SOLUTION:-}$

$\bold{Given}\begin{cases}\sf{Volume \:of\: chalk=8cm{}^{3}}\\ \sf{Dimensions\:of\:box}\\ \sf{l=12cm,b=7cm\:and\:h=2cm}\end{cases}$

• Find the volume of boxed

$\bf\underline{\underline{\red{According\:to\: Question:-}}}$

$\boxed{\sf{Volume\:of\: cuboid=length\times breadth\times height}}$

$\sf \implies Volume =12cm\times 7cm\times 2cm\\ \\ \sf\implies volume=84cm{}^{2}\times 2cm\\ \\ \sf\implies Volume =168cm{}^{3}$

$\boxed{\sf{\purple{Volume\:of\:box=168cm{}^{3}}}}$

$\boxed{\sf{\green{volume\:of\:chalk=8cm{}^{3}}}}$

• Now we have to find the how many chalk can be packed

$\sf No.\:of\:chalk=\frac{Volume\:of\:box}{Volume\:of\: chalk}\\ \\ \sf\implies No.\:of\:chalk=\cancel{\frac{168}{8}}\\ \\ \sf\implies No. of\:chalk=24$

$\boxed{\sf{Number\:of\:chalk\:can\:be\:pack=24}}$

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Answer 2

$\underline \mathbb{SOLUTION}$

$\underline \mathbb{GIVEN}$

$volume \: of \: chalk = 8 {cm}^{3}$

$dimension \: of \: box \: l = 12b = 7cmh = 2cm$

TO FIND,

VOLUME OF BOX.

$= > volume \: of \: cuboid = l \times b \times h$

$= > volume = 12cm \times 7cm \times 2cm$

$= > v = 84 {cm}^{2} \times 2cm$

$= > v = 168 {cm}^{3}$

$= > volume \: of \: box = 168 {cm}^{3}$

$= > volume \: of \: chalk = 8 {cm}^{3}$

NOW,

TO FIND THAT HOW MANY CHALKS CAN BE PACKED.

$= > no \: of \: chalk = \frac{volume \: of \: box}{volume \: of \: chalk}$

$= > no \: of \: chalk = \frac{168}{8}$

$= > no \: of \: chalks = 24$

$\underline \mathbb{ANSWER = 24}$

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