Question

how many wooden cubical blocks of side 25cm can be cut from a cuboidal block of wood of size 3m × 75cm × 50cm assuming that there is no wastage of wood ​

Answer 1

Answer:

After some time I can answer you

Answer 2

Given :-

• side of cubical block = 25 cm
• dimensions of cuboidal block = 3m × 75cm × 50cm = 300cm × 75cm × 50cm

To Find :-

• no. of wooden cubical blocks can be cut from cuboidal block

Solution :-

here,

$\underline{ \boxed{ \bold{no. \: of \: blocks = \frac{volume \: of \: cuboid}{volume \: of \: one \: cube} } }}$

and we know that,

$\boxed{\bold{volume \: of \: cuboid = lbh}} \\ \\ \bold{: \implies \: v1 = 300 \times 75 \times 50}$

and

$\boxed{ \bold{ volume \: of \: cube = {side}^{3} }} \\ \\ \bold{: \implies \: v2 = 25 \times 25 \times 25 }$

now, we have to find no. of cubical blocks that can be cut from cuboidal block

$\bold{: \implies n = \frac{300 \times \cancel{75 }\times \cancel{50}}{ \cancel{25 }\times \cancel{25}} } \\ \\ \bold{: \implies n = 300 \times 3 \times 2} \: \: \: \: \: \: \: \\ \\ \bold{: \implies n = 1800 } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

so, 1800 cubical blocks can be cut from cuboidal block