3 years ago

The pyramid has a square base of 240 meters on each side, and a hight of 147 meters, find the volume.

1 answer:

3 0

11760m^3
the equation is Ab h/3

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Dmitriy789 [7]

Use the chain rule:

$\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{\mathrm dy}{\mathrm du}\dfrac{\mathrm du}{\mathrm dx}$

We have

$y=8u-6\implies\dfrac{\mathrm dy}{\mathrm du}=8$

$u=3x-8\implies\dfrac{\mathrm du}{\mathrm dx}=3$

so we get

$\dfrac{\mathrm dy}{\mathrm dx}=8\cdot3=\boxed{24}$

Alternatively, you can substitute u in the definition of y and differentiate with respect to x :

$y=8u-6=8(3x-8)=24x-64\implies\dfrac{\mathrm dy}{\mathrm dx}=24$

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