Question

A godown measures 40 m × 25 m × 10 m. Find the maximum number of wooden crates each measuring 1.5 m × 1.25 m × 0.5 m that can be stored in the godown.

PLS GIVE THE CORRECT ANSWER. NO SPAM. I WILL MARK AS BRAINLIEST (WHOSE ANSWER WOULD BE 16000) NO SPAM​

Answer 1

Answer:

‎ ‎ ‎ ‎ ‎ ‎ ‎Approximately, the maximum number of wooden crates that can be stored in the godown is 10,667.

Explanation:

${\underline{\underline{\bf{Given:}}}}$

• The dimensions of the godown: Length = 40 m, Breadth = 25 m and Height = 10 m.
• Dimensions of a wooden crate: Length = 1.5 m, Breadth = 1.25 m and Height = 0.5 m.

${\underline{\underline{\bf{Need\:to\:find:}}}}$

• The maximum number of wooden crates that can be stored in the godown.

${\underline{\underline{\bf{Formula\:to\:be\:used:}}}}$

$\underline{\boxed{\sf{{Volume}_{[Cuboid]}=lbh\:cu.units}}}$

$\:\:\:\:\:\:\:\:\:\:\:\sf{\star\:l=length}$

$\:\:\:\:\:\:\:\:\:\:\:\sf{\star\:b=breadth}$

$\:\:\:\:\:\:\:\:\:\:\:\sf{\star\:h=height}$

${\underline{\underline{\bf{Solution:}}}}$

We can find the maximum number of boxed that can be stored in the godown by dividing the volume of a wooden crate from the volume of the godown. As per the given parameters, the shape of both the godown and the wooden crates is cuboid. So, we can find their volumes using the formula 'Volume of Cuboid' :

$\leadsto{\sf{\purple{lbh\:cu.units}}}$

Godown:-

$\:\:\:\:\:\:\:\rightarrowtail{\sf{40\times 25\times 10}}$

$\:\:\:\:\:\:\:\rightarrowtail{\sf{1000\times 10}}$

$\:\:\:\:\:\:\:\rightarrowtail{\underline{\bf{10,000\:m^3}}}$

Wooden crate:-

$\:\:\:\:\:\:\:\rightarrowtail{\sf{1.5\times1.25\times 0.5}}$

$\:\:\:\:\:\:\:\rightarrowtail{\sf{1.875\times 0.5}}$

$\:\:\:\:\:\:\:\rightarrowtail{\underline{\bf{0.9375\:m^3}}}$

$\red\bigstar$ The maximum number of crates that can be stored in the godown:

$\leadsto{\sf{\dfrac{Volume\:of\:godown}{Volume\:of\:a\:crate}}}$

$\:\:\:\:\:\:\:\implies{\sf{\dfrac{10000}{0.9375}}}$

$\:\:\:\:\:\:\:\implies{\sf{\dfrac{ \: \: \: \: \: \: 10000 \: \: \: \: \: \: \: }{\cfrac{9375}{10000}}}}$

$\:\:\:\:\:\:\:\implies{\sf{\dfrac{10000}{9375}\times 10000}}$

$\:\:\:\:\:\:\:\implies{\sf{\dfrac{(10)^8}{9375}}}$

$\:\:\:\:\:\:\:\implies{\sf{10,666.66\approx {\underline{\underline{\frak{\red{10,667}}}}}}}$

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Answer 2

Answer:

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