Question

How many wooden cubical block of side 20 CM can be cut from a long of wood of size 8 in 25 X 50 cm

Answer 1

Answer:

The number cubical blocks that can be cut from the log of wood is 3.

Step-by-step explanation:

The formula to compute the volume of a cubical block is: $V_{C}=(a)^{3}=(20)^{3}=8000\ cm^{3}$

The formula to compute the volume of a wooden log is: $V_{W}=(8\times2.54)\times25\times50=25400\ cm^{3}$

Consider that n cubical blocks are cut from the wooden log.

Compute the value of n as follows:

$V_{W}=n\times V_{C}\\25400=n\times 8000\\n=\frac{25400}{8000}\\ =3.175\\\approx3$

Thus, the number cubical blocks that can be cut from the log of wood is 3.