A rectangular box has sides 3,4 , and \(x\) and a volume of 18 . What is the value of \(x\) ?

Short Answer

Expert verified
The value of x is \(\frac{3}{2}\).

Step by step solution

01

Write the equation for the volume of the rectangular box

The equation for the volume of the rectangular box is: Volume = length * width * height In our case: 18 = 3 * 4 * x
02

Simplify the equation

First, we can simplify the equation by multiplying 3 and 4: 18 = 12 * x
03

Solve for x

Now, we need to solve for x. To do this, we can divide both sides of the equation by 12: \(x = \frac{18}{12}\)
04

Simplify the fraction to get the value of x

To simplify the fraction, we can reduce it to the lowest terms: \(x = \frac{18}{12}= \frac{3\cdot6}{3\cdot4}\) \(x = \frac{3}{2}\) Therefore, the value of x is \(\frac{3}{2}\).

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