Question

How many cubical boxes of side 2 cm each can be cut from wooden block in the form of a cuboid whose length, breadth and height are 24 cm, 12 cm and 8 cm respectively ?

• A. 288
• B. 218
• C. 268
• D. 248

Answer 1

The correct option is A 288

Length of cuboid $l$ = 24 cm.
Breadth of cuboid $b$ = 12 cm.
Height of cuboid $h$ = 8 cm.
Number of cubes that can be cut along the length
= $\frac{24}{2}=12$ ...(i)
Number of cubes that can be cut along the breadth
= $\frac{12}{2}=6$ ...(ii)
Number of cubes that can be cut along the height
= $\frac{8}{2}=4$ ...(iii)
From (i),(ii) and (iii),
total number of cubes can be cut $=12\times 6\times 4=288$