Chapter 12.8, Problem 1BGP

To determine

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

  

Answer to Problem 1BGP

The ratios of the corresponding figures are equal so, the pairs of solids are similar.

Explanation of Solution

Given:

  

Calculation:

To decide the pair of two rectangle shaped figures are similar or not, need to find out the ratio of the radius and height as:

  $\begin{array}{l}{r}_1=9yd\\ r_2=7.2yd\\ h_1=14yd\\ h_2=11.2yd\end{array}$

Now, the ratio of length of two figures:

  $\begin{array}{l}{r}_r=\frac{r_2}{r_1}=\frac{7.2}{9}=0.8\\ h_r=\frac{h_2}{h_1}=\frac{11.2}{14}=0.8\end{array}$

Hence, the ratio of the corresponding figures is equal so, the pairs of solids are similar.

Conclusion:

Hence, the pairs of solids are similar.