Question

. A rectangular block 6 cm x 12 cm x 5 cm is cut into exact number of equal cubes. The
least possible number of cubes will be​

Answer 1

Answer:

40 cubes would be made with the block.

Step-by-step explanation:

Volume of the block = L × W × H

                                  = 6 × 12 × 15

                                  = 1080 cm³

Find the HCF of 6 cm, 12 cm, 5 cm

Prime factors of 6 = 2 × 3

Prime factors of 12 = 2 × 2 × 3

Prime factors of 5 = 5

HCF = 3 cm

Volume of this cube = 3 × 3 × 3 = 27 cm³

Number of cubes would be made = $\frac{1080}{27}$

                                                         = 40

40 cubes would be made with the block.

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Answer 2

Answer:

No

Step-by-step explanation: