Although this formula is typically used to find the volume of a prism, we can also use it to find the base area or height, as long as we re-arrange it accordingly.

For a rectangular prism, the base area is solved using the following formula:

$A=lw$ ⇒ where <em>l</em> is the length and <em>w</em> is the width

<h2>Solving the Question</h2>

We're given:

V = 4352 ft³
<em>l</em> = 16 ft
<em>w</em> = 16 ft
We need to solve for the height of the box.

First, find the base area:

$A=lw\\A=16^2\\A=256$

Therefore, the base area is equal to 256 ft².

Now, modify the volume formula to isolate the height:

$V=base\hspace{3}area*height$

⇒ Divide both sides by the base area:

$\dfrac{V}{base\hspace{3}area}=\dfrac{base\hspace{3}area*height}{base\hspace{3}area}\\\\\dfrac{V}{base\hspace{3}area}=height\\\\height=\dfrac{V}{base\hspace{3}area}$

⇒ Plug in the given values:

$height=\dfrac{4352}{256}\\\\height=17$

Therefore, the height of the box is 17 ft.

<h2>Answer</h2>

The height of the box is 17 ft.

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2 years ago