Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

LA C++Vocab.pdf xC Spacing In This Book Was Gen xWileyPLUS Ahmad > c Secure l ht

ID: 1635937 • Letter: L

Question

LA C++Vocab.pdf xC Spacing In This Book Was Gen xWileyPLUS Ahmad > c Secure l https://edugen.wileyplus.com/edugen/student/mainfr.uni Yelp »Other Bookmarks i Help ps WileyPLUS Differential calculus. LA University of South D Apple iCloud Yahoo Bing w Wikipedia R Facebook Twitter-LinkedIn D The weather Channel WileyPLUS Halliday, Fundamentals of Physics, 10e Calculus-based Physics I ⅈ (PH 201-202) Home Read, Study & Practice Gradebook ORION Downloadable eTextbook Assianment> Open Assignment FULL SCREEN PRINTER VERSION BACK ASSIGNMENT RESOURCES Chapter 01, Problem 032 In the United States, a doll house has the scale of 1:19 of a real house (that is, each length of the doll house is 1/19 that of the real house) and a miniature house (a doll house to fit within a doll house) has the scale or 1:361 of a real house. Suppose a real house (see the figure) has a front length or 20 m, a depth of 12 m, a height of 6.0 m, and a standard sloped roor (vertical triangular faces on the ends) of height 3.0 m. What are the volumes of the corresponding (a) doll house and (b) miniature house? hapter 01, Problern front lercth derth (a) Number Units (b) Number Units SHoW HIN Version 4.24.1.19

Explanation / Answer

its volume is

Rectangular prism + Triangular prism

(20)(12)(6) + 1/2(20)(3)(12)

1800 cubic meters

Now, when comparing volumes given the length ratio, remember that the volume ratio is the length ratio cubed.

a)

(1/19)^3 = 1 / 6859

1800/6859 = 0.2624 cubic meters (ans)

b)

(1/361)^3 = 1 / 47045881

1800 / 47045881 = 3.826 x 10^-5 cubic meters (ans)