Shyanne has three cuboids of dimensions 25m by 20m by 9m. She tried to make a cube using these cuboids but was not possible. How many more such cuboids are required to make a cube?
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Step-by-step explanation:
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Answer:
3 more cuboids
Step-by-step explanation:
Given,
The dimension of a cuboid is 25m by 20m by 9m,
Number of cuboids we have = 3,
So, the total volume of each cuboid
V = 25 × 20 × 9
= 5 × 5 × 2 × 2 × 5 × 3 × 3
= 5³ × 6²
Since, volume of a cube = side³
That is, we need a perfect cubic number,
V will be a perfect cubic number if we multiply V by 6
Hence, we need 6 cuboids to make a cube,
Thus, the additional cuboids are needed = 6 - 3 = 3
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