1500 of the such cuboids are needed to form a cube
Dimensions
The dimensions of the plasticine are given as:
- Length = 25 cm
- Width = 15 cm
- Height = 6 cm
Lowest Common Multiple
Start by calculating the LCM of the dimensions
[tex]25 = 5 \times 5[/tex]
[tex]15 = 3 \times 5[/tex]
[tex]6 = 2 \times 3[/tex]
So, we have:
[tex]LCM =2 \times 3 \times 5 \times 5[/tex]
[tex]LCM =150[/tex]
So, the number of cuboids needed is:
[tex]n = \frac{LCM}{Length} \times \frac{LCM}{Width} \times \frac{LCM}{Height}[/tex]
This gives
[tex]n = \frac{150}{25} \times \frac{150}{15} \times \frac{150}{6}[/tex]
[tex]n = 6 \times 10 \times 25[/tex]
[tex]n = 1500[/tex]
Hence, 1500 of the such cuboids are needed to form a cube
Read more about cubes and cuboids at:
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