Question

Find the number of cubical wooden blocks of side 5cm that can be packed in a carton 75cm long, 50cm wide and 25cm high.

Answer 1

$\sf \Large Solution!!$

$\sf \large Given:$

$\sf \to Dimensions\:of\:carton=75\:cm\times 50\:cm\times 25\:cm$

$\sf \to Side\:of\:cubical\:block=5\:cm$

$\sf \large So,$

$\sf \to Volume\:of\:carton=75\:cm\times 50\:cm\times 25\:cm$

$\sf \to Volume\:of\:carton=93,750\:cm^{3}$

$\sf \to Volume\:of\:cubical\:block=5\:cm\times 5\:cm\times 5\:cm$

$\sf \to Volume\:of\:cubical\:block=125\:cm^{3}$

$\sf \to Number\:of\:cubical\:blocks\:that\:can\:be\:packed\:in\:the\:carton=\dfrac{Volume\:of\:carton}{Volume\:of\:cubical\:block}$

$\sf \to Number\:of\:cubical\:blocks\:that\:can\:be\:packed\:in\:the\:carton=\dfrac{93,750}{125}$

$\sf \boxed{\bigstar Number\:of\:cubical\:blocks\:that\:can\:be\:packed\:in\:the\:carton=750}$

Thanks for asking!! :)