The internal measurements of a box are $20$ cm long, $16$ cm wide and $24$ cm high. How many $4$ cm cubes could be put into the box?

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Solution

Given Dimensions of a box are $20$ cm long.
$16$ cm wide and $24$ cm high.
Volume of box $=$ lbh
$= 16 c m \times 24 c m \times 20 c m$
$= 320 \times 24$
Volume of box $= 7680 c m^{3}$
Given edge of cuboidal box $= 4 c m$
Volume of $1$ box $= (4)^{3} = 64 c m^{3}$
No. of boxes fit inside cuboidal box
No. of boxes $= \frac{7680}{64}$
No. of boxes fit inside large box is $120$ .

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The internal measurements of a box are 20 cm long, 16 cm wide and 24 cm high. How many 4 cm cubes could be put into the box?

Given Dimensions of a box are 20cm long.16cm wide and 24cm high.Volume of box =lbh=16cm×24cm×20cm=320×24Volume of box =7680cm3Given edge of cuboidal box =4cmVolume of 1 box =(4)3=64cm3No. of boxes fit inside cuboidal boxNo. of boxes =768064No. of boxes fit inside large box is 120.

The internal measurements of a box are $20$ cm long, $16$ cm wide and $24$ cm high. How many $4$ cm cubes could be put into the box?