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Mathematics
Problem
For a cube of edge length
a
(
cm
)
a\,(\text{cm})
a
(
cm
)
, which one of the following gives the rate of change of its volume
V
V
V
(in
cm
3
\text{cm}^3
cm
3
) with respect to time
t
t
t
seconds? a)
2
a
2
d
a
d
t
2a^{2}\,\dfrac{da}{dt}
2
a
2
d
t
d
a
b)
3
a
2
d
a
d
t
3a^{2}\,\dfrac{da}{dt}
3
a
2
d
t
d
a
c)
6
a
2
d
a
d
t
6a^{2}\,\dfrac{da}{dt}
6
a
2
d
t
d
a
d)
a
2
d
a
d
t
a^{2}\,\dfrac{da}{dt}
a
2
d
t
d
a
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