To calculate:what is the largest cube she could build with the sugar cubes.
Answer to Problem 3E
The largest cube she could build with the sugar cubes
Explanation of Solution
Given information: Megan has 1200 sugar cube.
Suppose the side length of single sugar cube is equal to ‘a’ and the volume of the cubes is equal to ‘V’.
Formula used: Volume of cube (V) =
Therefore,
As per the question she made a large cube by using all the 1200 cubes.
Hence, suppose side length of the largest cube is equal to
Now,
Calculation:
From the equation (i) and (ii), we get
Therefore, length of the largest cube
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