Question

find the missing side length in these similar solids.

Explanation:

Step1: Set up the proportion

Since the cones are similar, the ratios of corresponding linear dimensions are equal. Let the missing side length be \(x\). The proportion is \(\frac{8}{12}=\frac{4}{x}\).

Step2: Cross - multiply

Cross - multiplying gives \(8x = 12\times4\). So, \(8x=48\).

Step3: Solve for \(x\)

Divide both sides of the equation \(8x = 48\) by \(8\). We get \(x=\frac{48}{8}\).

Answer:

\(6\)