Question

The internal measurements of the box are 10cm long 16cm wide and 24cm high .how many 4 cm cubes could be put into the box

Answer 1

i think the answer is 256

Answer 2

Answer:

${\huge{\underline{\underline{\sf{\blue{Question:-}}}}}}$

The internal measurements of the box are 10cm long 16cm wide and 24cm high .how many 4 cm cubes could be put into the box.

${\huge{\underline{\underline{\sf{\blue{Given :-}}}}}}$

• Length of the box (/) = 20 cm
• Breadth of the box (b) = 16 cm
• Height of the box (h) = 24 cm

Therefore,

Volume of the box = l × b × h

$Cubic \: units \: = 20 \times 16 \times 24 \: cm ^{2}$

Side of the cube = 4 cm

Therefore,

$Volume \: of \: the \: cube \: = (side) ^{3} \: cm ^{3}$

$= (4) ^{3} \: cm ^{3} = (4 \times 4 \times4 ) \: cm ^{3}$

Therefore,

$Number \: of \: cubes \: which \: can \: be \: </p><p>put \: in \: the \: box \: = \: \frac{Volume \: of \: the \: box }{Volume \: of \: each \: cubes }$

$= \frac{20 \times 16 \times 24}{4 \times 4 \times 4} = 120$