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The length of the edge of the bases is x = 4 and x=1.79.
The volume of a rectangular box can be calculated if you know its three dimensions: width, length, and height.
The volume of a box with a square base and a height of 2 cm is 32cm for box A and the volume of a box with a square base and a height of 10cm is 32cm.
What is the length of the edge of the bases?
The volume of the box = length × width × height
Therefore, we are going to make use of Equation (1) to determine the solution to this question, so that we have;
For Box A; We are given our volume to be equal to 32cm^3, height = 2cm, length and width = x cm.
For Box B IS;
[tex]\rm 32 = 2x^2\\\\x^2 = 16\\\\x^2=4^2\\\\x=4[/tex]
Here Length = width.
For box B;
[tex]\rm 32 = 10x^2\\\\x^2=\dfrac{32}{10}\\\\x^2=3.2\\\\x=1.79[/tex]
Hence, the length of the edge of the bases is x = 4 and x=1.79.
Learn more about volume here;
https://brainly.com/question/12741752
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