Question

How many cubes of side 3 cms each can be cut from wooden block in the form of a cuboid whose length, breadth and height are 24 cm, 12 cm and 9 cm respectively?

• A. 96
• B. 45
• C. 69
• D. 89

Answer 1

The correct option is A 96

Length of cuboid $l$ = 24 cm
Breadth of cuboid $b$ = 12 cm
Height of cuboid $h$ = 9 cm
No. of cubes that can be cut along the length = $\frac{24}{3}=8$
No. of cubes that can be cut along the breadth = $\frac{12}{3}=4$
No. of cubes that can be cut along the height = $\frac{9}{3}=3$
So, total number of cubes can be cut $=8\times 4\times 3=96$
$\therefore$ 96 cubes can be cut from the cuboid.