SOLUTION: The volume of a right rectangular solid with a square base is 108in^3. Find the dimensions of the box if the height of the box is the same as the primeter of the box.
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Question 769328: The volume of a right rectangular solid with a square base is 108in^3. Find the dimensions of the box if the height of the box is the same as the primeter of the box.
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
As written, the problem is unclear. Perimeter is applied to 2-dimensional figures. Perimeter is the distance all around a 2-dimensional figure. The word perimeter can not be applied to the 3-dimansional box. It could be applied to the square base of the box or to the rectangular side of the box.
= length of a side of the square base of the box
= height of the box
= perimeter of the base of the box
= perimeter of the side of the box
= area of the base of the box
= volume of the box
The height of the box being the same as the perimeter of the side of the box,
,
does not make sense, because and must be both positive inch measurements.
It must be that the height of the box is the same as the perimeter of the base of the box,
Then the volume of the box is
Solving:
-->-->-->-->
Then, the height of the box, , is
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