Each pattern below is made of six congruent squares which pattern can be folded into a cube that has a secure area of 96 cm2 olspattern below is made of six congruent squares. Which patter4 cmA4 cm4 cm4 cm16 cm16 cmG2001Wuminate Eoucation 16 cm16 cmDC2021Illuminate Education TM. Inc.EscF1F2F3F4

Name: Each pattern below is made of six congruent squares which pattern can
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Description: Each pattern below is made of six congruent squares which pattern can be folded into a cube that has a secure area of 96 cm2 olspattern below is made of six congruent squares. Which patter4 cmA4 cm4 cm4 cm16 cm16 cmG2001Wuminate Eoucation 16 cm16 cmD

Surface area of cube = 6a2 = 96 ⇒a2 = 9616 = 16…

Answered: Each pattern below is made of six…

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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Each pattern below is made of six congruent squares which pattern can be folded into a cube that has a secure area of 96 cm2

ols
pattern below is made of six congruent squares. Which patter
4 cm
A
4 cm
4 cm
4 cm
16 cm
16 cm
G2001
Wuminate Eoucation

16 cm
16 cm
D
C2021
Illuminate Education TM. Inc.
Esc
F1
F2
F3
F4

Expert Solution

Step 1

$S u r f a c e a r e a o f c u b e = 6 a^{2} = 96 \Rightarrow a^{2} = \frac{96}{16} = 16 a = 4 \Rightarrow S i d e s h o u l d b e 4 c m \Rightarrow C & D d i s c a r d e d N o w o b s e r v e (B) i f w e s t a r t f o l d i n g i t c a n n o t b e c o m e c u b e S p (a) l e f t w h i c h f o r m c u b e a n d a l s o h a s s i d e a = 4 S o a i s t r u e .$

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