The expression that represents the volume of a rectangular-shaped box is: A. x³ + x² - 12x.
<h3>What is the Volume of a
Rectangular Prism?</h3>
A rectangular-shaped box is a rectangular prism. To find the volume of a rectangular-shaped box, we would apply the formula of the volume of a rectangular prism, which is expressed as: V = (length)(width)(height).
We are given the following dimensions of the rectangular-shaped box:
Let the height be represented as x
Height of the rectangular-shaped box = x in.
Length of the rectangular-shaped box = (x - 3) in.
Width of the rectangular-shaped box = (x + 4) in.
Plug in the values into the volume formula:
Volume of the rectangular-shaped box = (x - 3)(x)(x + 4)
Expand (x - 3)(x)(x + 4)
Volume of the rectangular-shaped box = x³ + x² - 12x.
Therefore, the expression that represents the volume of a rectangular-shaped box with the given dimensions is: A. x³ + x² - 12x.
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