Chapter 12, Problem 40SGR

To determine

To calculate:To find the missing measure for the pair of similar solids

Answer to Problem 40SGR

Missing measure is $12cm$

Explanation of Solution

Given information:Pair of similar solid is

  

Formula Used:

When two figures are similar, their corresponding sides are proportional

Calculation:

Similar solids are given as follows:

  

Let the missing measure be $x$

Since the solids are similar, hence the sides of figure are proportional

Therefore,

  $\frac{x}{3}=\frac{100}{25}$

On solving,

  $\begin{array}{l}x=\frac{100\times 3}{25}\\ x=4\times 3\\ x=12\end{array}$

Conclusion:

Hence, missing measure is $12cm$