The dimensions of the length, width, and height of the cube Nadia
makes are equal.
Correct response:
- The number of cubes Nadia have left is 292 cubes
Methods used to calculation
Number of cubes Nadia has = 2020 one-centimeter cube
The solid she makes using the cube = The largest cube possible
Required:
The number of cubes Nadia has left.
Solution:
The number of cubes Nadia uses is given by the largest number less
than 2020, that has a perfect cube root, which is given by cube of the
whole number part of the cube root of 2020, as follows;
Let x represent the cube root of the cubes Nadia uses
√(2020) ≈ 12.64
Which gives the cube root of the largest number with a perfect cube root is x = 12
Therefore, the number is x³ = 12³ = 1,728
The number of cubes Nadia uses = 1,728 cubes
- The number of cubes she has left = 2,020 cubes - 1,728 cubes = 292 cubes
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