Question

a small bulb is packed in a cubical box of edge 4 cm . how many such boxes can be packed in a box of dimensions
72cm *60cm*50cm?????
please answer this question​

Answer 1

Given:

• Edge of cubical box = 4 cm
• Dimensions of cuboidal box = 72 cm × 60 cm × 50 cm

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To find:

• No. of cubical box which can be packed in a cuboidal box.

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Solution:

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$\sf\star\; \purple{No.\;of\;boxes = \dfrac{Volume_{\;(cuboidal\;box)}}{Volume_{\;(cubical\;box)}}}$

$:\implies\sf \dfrac{72 \times 60 \times 50}{(4)^3}$

$:\implies\sf \cancel{\dfrac{216000}{64}}$

$:\implies{\boxed{\sf{\pink{3375\;boxes}}}}\;\bigstar$

$\therefore\;{\underline{\sf{3375\;boxes\;can\:be\;packed\;in\;a\;cuboidal\;box.}}}$

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$\qquad\qquad\boxed{\underline{\underline{\bigstar \: \bf\:More\:to\:know\:\bigstar}}}$

• Total surface area of cube = 6a²

• Curved surface area of cube = 4a²

• Volume of cube = a³

• Total surface area of cuboid = 2(lb + bh + hl)

• Curved surface area of cuboid = 2(l + b)h

• Volume of cuboid = l × b × h