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McGraw Hill Integrated II, 2012

MH

McGraw Hill Integrated II, 2012 View details

1. Representing Sample Spaces

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Exercise 35 Page 889

When two prisms are similar with a scale factor, their corresponding linear measures are proportional.

Height: 130 meters
Width: 465 meters
Length: 245 meters

Practice makes perfect

We are told that people built a model of Basilica di San Pietro. The model and the Basilica are similar solids with a scale factor 1:5. The model is a rectangular prism with measures that are 26 meters high, 49 meters wide, and 93 meters long.

Rectangular prism with dimensions labeled: 49 meters wide (label in pink), 93 meters long (label in green), and 26 meters high (label in orange).

We want to find the dimensions of actual Basilica di San Pietro. Let h, w, and l represent the height, width, and length of the Basilica, respectively.

Rectangular prism with width labeled 'w' (in pink), length labeled 'l' (in green), height labeled 'h' (in orange).

Since the two prisms are similar, their corresponding linear measures are proportional. 1/5=26/h=49/w=93/l From here we will find the dimensions. We will start with finding h.

1/5=26/h

LHS * 5=RHS* 5

1=26/h* 5

MoveRightFacToNum

a/c* b = a* b/c

1=130/h

LHS * h=RHS* h

h=130

The height of the Basilica is 130 meters. Following the same steps, we can find the width and the length as 245 meters and 465 meters, respectively.

Subchapter links

Exercises p.886-889