Question

A wooden block measures 24 cm x 18 cmx 15 cm. How many cubical blocL. can be cut from it if each side of the cube is 6 cm
ए वुडन ब्लॉक मेला 28 सेंटीमीटर इन टू 18 सेंटीमीटर इन टू 50 सेंटीमीटर हाउ मेनी क्यूबिकल ब्लॉक कैन वी कट फ्रॉम एयरटेल इन साइड ऑफ द क्यूबिक सैंटीमीटर ​

Answer 1

Answer:

First we will find the volume of bigger block

$\sf \: volume = l \times b \times h \\ \\ \sf = 24 \times 18 \times 15 \\ \\ \boxed{ \sf{ = {6480cm}^{3} }}$

Volume of small cube each side 6 cm

$\sf = 6 \times 6 \times 6 \\ \\ \boxed{ \sf = {216cm}^{3} }$

$\sf number \: of \: cube = \frac{volume \: of \: bigger \: cube}{volume \: of \: smaller \: cube}$

$= \frac{ { \cancel{ {6480}} \: }^{30} }{ \cancel{216}} \\ \\ \boxed{ \sf{ = 30 \: small \: cubes}}$

$\rule{190pt}{2.5pt}$

Additional information:-

• Volume is a scalar quantity expressing the amount of three-dimensional space enclosed by a closed surface.
• For example, the space that a substance or 3D shape occupies or contains. Volume is often quantified numerically using the SI derived unit, the cubic metre.
• the basic formula for the area of a rectangular shape is length × width, the basic formula for volume is length × width × height.