Chapter 12.8, Problem 2CYU

To determine

The following each pair of solids is to be estimated as similar or not:

  

Answer to Problem 2CYU

The pairs of solids are not similar.

Explanation of Solution

Given:

  

Calculation:

To decide the pair of two rectangles shaped figures are similar or not, need to find out the ratio of the length, and width as:

  $\begin{array}{l}{l}_1=12ft\\ l_2=10ft\\ w_1=6ft\\ w_2=2ft\\ h_2=2ft\end{array}$

Now, the ratios of two figures are as:

  $\begin{array}{l}{l}_r=\frac{l_2}{l_1}=\frac{12}{6}=2\\ w_r=\frac{w_2}{w_1}=\frac{6}{2}=3\end{array}$

Hence, the ratios of the corresponding figures are not equal so, the pairs of solids are not similar.

Conclusion:

Hence, the pairs of solids are similar.