Question

The internal measurements of a box are 20cm long, 15 cm wide, and 24 cm high. How many 5 cm cubes could be put in to the box with the faces parallel to the sides?​

Answer 1

Answer:

16cm wide and 24cm high.

Volume of box =lbh

=15cm×24cm×20cm

=7,200

Volume of box =7,200 cm

Volume of box =

${7200}^{3}cm$

Given edge of cuboidal box =4cm

Volume of 1 box =

${4}^{3}$

$= {64}^{3}$

No. of boxes fit inside cuboidal box

No. of boxes =

$\frac{7200}{64}$

No. of boxes fit inside large box is

$\frac{225}{2}$

therefore it is also 112.5

Answer 2

Answer:

16cm wide and 24cm high.

Volume of box =lbh

=15cm×24cm×20cm

=7,200

Volume of box =7,200 cm

Volume of box =

{7200}^{3}cm7200

3

cm

Given edge of cuboidal box =4cm

Volume of 1 box =

{4}^{3}4

3

= {64}^{3}=64

3

No. of boxes fit inside cuboidal box

No. of boxes =

\frac{7200}{64}

64

7200

No. of boxes fit inside large box is

\frac{225}{2}

2

225

therefore it is also 112.5