The lateral area of a cube is sixty-four square kilometers. What is its side length?
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OpenStudy (bahrom7893):
that is a one big cube..
OpenStudy (bahrom7893):
How many sides does a cube have?
OpenStudy (anonymous):
ummmm six?
OpenStudy (anonymous):
yeah six
OpenStudy (anonymous):
l=8?
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OpenStudy (bahrom7893):
A=6*a^2
64=6a^2
64/6=a^2
OpenStudy (bahrom7893):
a=8/sqrt(6)=8sqrt(6)/6=4sqrt(6)/3
OpenStudy (anonymous):
that equals what?
OpenStudy (anonymous):
4?
OpenStudy (bahrom7893):
No that equals 4*sqrt(6)/3
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OpenStudy (anonymous):
that equals 4
OpenStudy (bahrom7893):
no that equals 4*sqrt(6)/3
OpenStudy (bahrom7893):
Don't argue with a gorilla
OpenStudy (anonymous):
what is the overall answer then i came up with 4
OpenStudy (bahrom7893):
Geez man how many times do i have to tell you?
Total surface area of a cube: A=6*s^2, where s is the side
Total surface area is: 64 km^2, thus:
64=6s^2, where s is the side. Solve for s:
64/6=s^2
Take square root on both sides:
sqrt(64/6)=sqrt(s^2)
8/sqrt(6)=s, or s=8/sqrt(6). Rationalize the denominator:
s=8*sqrt(6)/6 = 4*sqrt(6)/3 (km) <-----FINAL ANSWER
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OpenStudy (anonymous):
that equals what exactly
OpenStudy (bahrom7893):
Nobody knows what that equals exactly, but roughly:
= 3.26598632
OpenStudy (bahrom7893):
Got it tyto?
OpenStudy (anonymous):
monkeys are buttheads
OpenStudy (bahrom7893):
so are dogs
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