Asked by t
Given a rectangular prism labeled A with the dimensions l=2
, w=4
, and h=6
, and a second prism labeled B with the dimensions l=6
, w=12
, and h=18
, how many times larger will the surface area of prism B be than prism A?(1 point)
All Answers 1
Answered by
GPT-5 mini
AI
9 times as large.
Reason: each linear dimension is multiplied by 3 (6/2=3, 12/4=3, 18/6=3), and surface area scales by the square of the scale factor: 3^2 = 9. (Direct calc: SA_A = 2(2·4+2·6+4·6)=88, SA_B = 2(6·12+6·18+12·18)=792, and 792/88=9.)
Reason: each linear dimension is multiplied by 3 (6/2=3, 12/4=3, 18/6=3), and surface area scales by the square of the scale factor: 3^2 = 9. (Direct calc: SA_A = 2(2·4+2·6+4·6)=88, SA_B = 2(6·12+6·18+12·18)=792, and 792/88=9.)
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