Question

A godown has dimensions 7m × 4.5 m × 2m . How many cartons of dimensions 70cm × 22.5 cm × 40cm can be stored in it ?​

Answer 1

Answer:

oook i will try and follow mr

Answer 2

$\large\underline{ \underline{ \sf \maltese{ \: Question:- }}}$

• A godown has dimensions 7m × 4.5 m × 2m . How many cartons of dimensions 70cm × 22.5 cm × 40cm can be stored in it ?

$\large\underline{ \underline{ \sf \maltese{ \: Given:- }}}$

$\underbrace\red{\boxed{ \sf \blue{ Dimensions \: of \: Godown }}}$

• Length = 7m = $\sf\green{ 7 \: \times \: 100cm\: = \:\blue{\fbox\orange{700cm}} }$
• Breadth = 4.5m = $\sf\green{ 4.5 \: \times \: 100cm\: = \:\blue{\fbox\orange{450cm}} }$
• Height = 2m = $\sf\green{ 2 \: \times \: 100cm\: = \:\blue{\fbox\orange{200cm}} }$

$\underbrace\red{\boxed{ \sf \blue{ Dimensions \: of \: Carton }}}$

• Length = 70cm
• Breadth = 22.5cm
• Height = 40cm

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$\large\underline{ \underline{ \sf \maltese{ \: Solution:- }}}$

$\begin{gathered}\begin{gathered}\begin{gathered}: \implies \underline\blue{ \boxed{\displaystyle \sf \bold\orange{\: Volume \: = \: Length \: \times \: Breath \times \: Height }} }\\ \\\end{gathered}\end{gathered}\end{gathered}$

$\qquad \quad {:} \longrightarrow \sf{\sf \red{Volume \: of \: godown \: = \: 700 \: \times \: 450 \: \times \: 200 \: {cm}^{3} }}$

$\qquad \quad {:} \longrightarrow \sf{\sf \blue{Volume \: of \: Carton \: = \: 70 \: \times \: 22.5 \: \times \: 40 \: {cm}^{3} }}$

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$\begin{gathered}\begin{gathered}\begin{gathered}: \implies \underline\blue{ \boxed{\displaystyle \sf \bold\orange{\: Number \: of \: Cartons \: = \: \frac{Volume \: of \: Godown}{Volume \: of \: Cartons} }} }\\ \\\end{gathered}\end{gathered}\end{gathered}$

$\qquad \quad {:} \longrightarrow \sf{\sf {Number \: of \: Carton \: = \: \frac{ 700 \: \times \: 450 \: \times \: 200}{70 \: \times \:22.5 \times \: 40}}}$

$\qquad \quad {:} \longrightarrow \sf{\sf {Number \: of \: Carton \: = \: \frac{ 70\cancel0 \: \times \: 450 \: \times \: 20\cancel0}{7\cancel0 \: \times \:22.5 \times \: 4\cancel0}}}$

$\qquad\quad {:} \longrightarrow \underline \red{\boxed{\sf{Number \: of \: Cartons \: = \: 1000 \: Cartons }}}$

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$\begin{gathered}\begin{gathered}\qquad \therefore\: \sf{ No. \: of \: Cartons \: that \: can \: be \: stored \: in \: Godown \: = \underline {\underline{ 1000}}}\\\end{gathered}\end{gathered}$

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★ Additional Info :

• Volume of cylinder = πr²h
• T.S.A of cylinder = 2πrh + 2πr²
• Volume of cone = ⅓ πr²h
• C.S.A of cone = πrl
• T.S.A of cone = πrl + πr²
• Volume of cuboid = l × b × h
• C.S.A of cuboid = 2(l + b)h
• T.S.A of cuboid = 2(lb + bh + lh)
• C.S.A of cube = 4a²
• T.S.A of cube = 6a²
• Volume of cube = a³
• Volume of sphere = 4/3πr³
• Surface area of sphere = 4πr²
• Volume of hemisphere = ⅔ πr³
• C.S.A of hemisphere = 2πr²
• T.S.A of hemisphere = 3πr²

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