Question

how many wooden cubical blocks of side 25 cm can be cut from a log of wood of size 3 m by 75 cm by 50 cm l, assuming there is no wastage of wood​

Answer 1

volume is cube=a×a×a

given side=25

volume=15625

vol of cuboid=LBH

L=300cm

B=75cm

H=50cm

volume =300×75×50=1125000

by division of vol of cuboid byvol of cube give the number of boxes as72

Answer 2

$\huge\mathbb{SOLUTION:-}$

The length of the side of the cubical block = $\mathsf { 25\:Cm}$

volume of the one cubical block =$\mathsf { 25\times 25\times 25\:Cubic\:Cm}$

Let, the required number of blocks be N.

$\therefore$The volume of the N cubical blocks =$\mathsf {Volume\:of\:wood}$

$\implies \mathsf {N\times253\:=\:300\times 75\times 50}$

$\implies \mathsf {N=12\times 3\times 2\:=\:72}$

Thus, required number of blocks are 72.