Question

rectangular Block 6 CM 12 cm and 15 cm is cut into a exact number of equal cubes .with each side 3 cm the least possible number of cubes will be ​

Answer 1

Answer:

40 cubes are formed

Step-by-step explanation:

No of cubes =volume of Block/volume of cube

l×b×h/a3

6×12×15/3×3×3

2×4×5

40

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Answer 2

Answer:

$\red {the \: number \: cubes } \green { =40}$

Step-by-step explanation:

Dimensions of a rectangular block :

L × B × H = 6 cm × 12 cm × 15 cm

Dimensions of each cube :

Side (a) = 3 cm

Let the number of possible cubes formed by the block = n

$n = \frac{ volume \: of \:block }{volume \:of \:each \:cube }\\= \frac{ L\times B \times H }{a^{3}}\\= \frac{ 6\times 12\times 15}{3^{3}}\\= 40$

Therefore.,

$\red {the \: number \: cubes } \green { =40}$

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