Chapter 12, Problem 16PT

To determine

To calculate:To find if the rectangular prisms are similar

Answer to Problem 16PT

Rectangular prisms are proportional

Explanation of Solution

Given information:Pair of rectangular prisms are

Prism	Length (m)	Width (m)	Height (m)
A	2	5	7
B	3	7.5	10.5

Formula Used:

When two figures are similar, their corresponding sides are proportional

Calculation:

Pair of rectangular prisms are given as

Prism	Length (m)	Width (m)	Height (m)
A	2	5	7
B	3	7.5	10.5

Find the ratio of sides of two rectangular prisms

  $\frac{Lengt{h}_A}{Lengt{h}_B}=\frac{2}{3}$

  $\frac{Widt{h}_A}{Widt{h}_B}=\frac{5}{7.5}=\frac{50}{75}=\frac{2}{3}$

  $\frac{Heigh{t}_A}{Heigh{t}_B}=\frac{7}{10.5}=\frac{70}{105}=\frac{2}{3}$

Since the sides of rectangular prism are proportional, therefore the prisms are proportional

Conclusion:

Hence, rectangularprisms are proportional