Question

The edge of a cube is 20 cm. How many small cubes of 5 cm edge can be formed from this
cube? please answer
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Answer 1

✝ Quesion :

The edge of a cube is 20cm . how many small cubes of 5cm edge can be formed from this cube

$\huge{\mathfrak{\blue{\underline{Answer}}}}$

✝ First , the volume of the large cube of edge 20cm

$= (edge) {}^{3} \\ = (20cm) {}^{3} \\ = 8000cm {}^{3}$

✝ Now Volume of small cube of edge 5cm :

$= (edge) {}^{3} \\ = (5cm) {}^{3} \\ = 125cm {}^{3}$

✝ Number of cubes of edge 5cm that can be formed from the cube of edge 20cm :

= Volume of cube of edge 20cm/Volume of cube of edge 5cm

$= \frac{8000cm {}^{3} }{125cm {}^{3} }$

$\huge{\implies{\mathcal{\blue{\underline{64cubes}}}}}$

Answer 2

Step-by-step explanation:

Let the no. of cubes be x.

Then,Volume of big cube=Volume of each small cube×no.of cubes

=(20)^3=(5)^3 × x

=8,000=125 × x

=8,000÷125=x

=64=x

so no. of cubes=64.