SOLUTION: An open box is 5 inches deep and 180 cubic inches in volume is to be constructed. Find the dimensions of the square base.
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Question 659502: An open box is 5 inches deep and 180 cubic inches in volume is to be constructed. Find the dimensions of the square base.
Answer by benni1013(206) (Show Source): You can put this solution on YOUR website!
To begin, let's review the formula for the volume of a box. V= LxWxH where V=Volume, L=Length, W=Width, and H=Height. Next, insert what you know. 180=5lw==>36=lw. Another thing, to notice is that it is a SQUARE base. Since the length and the width is created by the base, we can use A=lw. Since the base is a square and in a square all sides are the same length, we can use the formula A=s^2 or using slight substitution l*w=36 or s^2=36. There are two answers 6 and -6 but since area measurement can not be negative 6 is your answer. To check plug and chug (180=6x6x5)? It does check.
BJB
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