Problem

The dimensions of a gift box are $x \mathrm{~cm}, x \mathrm{~cm}$, and $(14-3 x) \mathrm{cm}$. Its volume is $32 \mathrm{~cm}^{3}$. One of the possible values of $x$ is 2 . What is the other possible value of $x$ ?

Solution

Step 1 :Given the volume formula: \(V = l * w * h\), we have \(32 = x * x * (14 - 3x)\)

Step 2 :Solve the equation for x, we already know one possible value of x is 2, so we need to find the other possible value.

Step 3 :The other possible value of x is \(\boxed{4}\)

From Solvely APP
Source: https://solvelyapp.com/problems/17040/

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