Question

How many cubes of side 3 cm can be cut
from a cube of side 9 cm? ?​

Answer 1

Answer:

So, we can cut maximum 18 cubes of sides 3cm from the cuboid of dimension 10cm×9cm×6cm.

Answer 2

Given: Dimensions of big cube = 9cm × 9cm × 9cm

           Dimensions of small cube = 3cm × 3cm × 3cm

To find: Number of small cubes that can be cut from the big cube

Solution:

∵ Number of small cubes that can be cut from big cube

                   = $\frac{Volume \ of \ big \ cube}{Volume \ of \ small \ cube}$

[∵ Volume of cube =  Length × breadth × height or side × side × side]

Volume of big cube = 9 × 9 × 9 = 729 $cm^{3}$

Volume of small cube = 3 × 3 × 3 = 27 $cm^{3}$

Number of small cubes = $\frac{729}{27} = 27$

Hence, 27 cubes of side 3 cm can be cut from a cube of side 9 cm.