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Mathematics
Problem
At a certain instant the volume of a cube is
125
cm
3
125\,\text{cm}^3
125
cm
3
and is increasing at
30
cm
3
/s
30\,\text{cm}^3\!\text{/s}
30
cm
3
/s
. What is the rate of change of its surface area at that instant? a)
60
cm
2
/
s
60\,\text{cm}^2\!/\text{s}
60
cm
2
/
s
b)
12
cm
2
/
s
12\,\text{cm}^2\!/\text{s}
12
cm
2
/
s
c)
24
cm
2
/
s
24\,\text{cm}^2\!/\text{s}
24
cm
2
/
s
d)
72
cm
2
/
s
72\,\text{cm}^2\!/\text{s}
72
cm
2
/
s
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