Volume of a cube iincreased 9 cubic cm per second how far its surface area increased if its edge is 10cm
Answers
Answered by
0
I hope it's helpful for you.
Attachments:
Answered by
0
Given :
- we have dv/dt = 9 cm³/s
- l = 10 cm
- volume of cube (v) = l³
To find :
- how far its surface area
Solution :
dv/dt = d/dt(l³) = 9
3l³ = dl/dt = 9
dl/dt = 3/l³ ......... ..(1)
and surface area of cube (A) = 6l³
dA/dt = d/dt (6l²)
= 12l(dl/dt)
= 12l x 3/l² ..........(from 1)
= 36/l
= 36/10
= 3.6 cm²/s
=> 3.6 cm²/s far its surface area
Similar questions