The bases of the prism below are rectangles. If the prism's height measures 3 units and its volume is 126 unitscubed 3 , solve for xx.

To solve for $x$, we need to use the formula for the volume of a rectangular prism. The volume $V$ of a rectangular prism is given by:

$V = \text{length} \times \text{width} \times \text{height}$

Given:

• The height of the prism is 3 units.
• The volume of the prism is 126 cubic units.

Let's denote the length and width of the base of the prism as $l$ and $w$, respectively. Since the base is a rectangle, the area of the base $A$ is:

$A = l \times w$

The volume of the prism can also be expressed as:

$V = A \times \text{height}$

Substituting the given values:

$126 = A \times 3$

Solving for $A$:

$A = \frac{126}{3}$ $A = 42$

So, the area of the base of the prism is 42 square units. If we assume that the length $l$ and width $w$ of the base are such that $l = x$ and $w = y$, then:

$x \times y = 42$

To solve for $x$, we need additional information about the relationship between $x$ and $y$. If no further information is provided, we can only express $x$ in terms of $y$:

$x = \frac{42}{y}$

Therefore, without additional constraints or information about $y$, $x$ can be any value that satisfies the equation $x \times y = 42$.