Answer:
cube root of 123 (approx 4.97)
Step-by-step explanation:
volume of a cube is LxWxH, and since it is a cube, all measurements are equal
The height of the box is 4.973 inch whose volume is 123 cubic inches.
It is given that the volume of a box is 123 cubic inches.
It is required to find the height of the box.
It is defined as a three-dimensional space enclosed by an object or thing.
We have:
Volume of a box = 123 cubic inches
Here we are assuming the box is a shape of cube.
We know that the volume of a cube:
[tex]\rm V= a^3[/tex] where a is the side of cube
In the cube all the dimensions are same.
Now,
[tex]\rm 123 =a^3 \ \ or \\\\ a = \sqrt[3]{123}[/tex](∵ V = 123)
a = 4.973 inch
Since in the cube all the dimensions are same, therefore
The height of the cube = 4.973 in
Thus, the height of the box is 4.973 inch whose volume is 123 cubic inches.
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