Question

A cubical box has each edge measuring 10cm and another cubical box is 12 cm long, 10 cm wide and 8 cm high. Then,
a) both have same capacity
b) both have same volume
c) capacity of cubical box is less
d) capacity of cubical box is more ​

Answer 1

Answer:

Answer is:Option d capacity of cubical box is more...

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Answer 2

$\sf\red{\underline{\underline{Answer:}}}$

$\sf{d) \ Capacity \ of \ cubical \ box \ is \ more.}$

$\sf\orange{Given:}$

$\sf{For \ cubical \ box}$

$\sf{\implies{Side(l)=10 \ cm}}$

$\sf{For \ cuboidal \ box}$

$\sf{\implies{Length (l)=12 \ cm,}}$

$\sf{\implies{Breadth (b)=10 \ cm,}}$

$\sf{\implies{Height (h)=8 \ cm}}$

$\sf\green{\underline{\underline{Solution:}}}$

$\boxed{\sf{Volum \ of \ cube=l^{3}}}$

$\sf{\therefore{Volume \ of \ cubical \ box=10^{3}}}$

$\sf{\therefore{Volume \ of \ cubical \ box=1000 \ cm^{3}}}$

$\boxed{\sf{Volume \ of \ cuboid=l\times \ b\times \ h}}$

$\sf{\therefore{Volume \ of \ cuboidal \ box=12\times10\times8}}$

$\sf{\therefore{Volume \ of \ cuboidal \ box=960 \ cm^{3}}}$

$\sf\purple{\tt{\therefore{Capacity \ of \ cubical \ box \ is \ more.}}}$