What is the volume of the following rectangular prism?

Ответ:

arielmajesty9107

30.09.2020

28 units³

Step-by-step explanation:

The volume (V) of the prism is calculated as

V = Al ( A is the area of end face and l is the length )

Here A = $\frac{21}{2}$ and l = $\frac{8}{3}$ , thus

V = $\frac{21}{2}$ × $\frac{8}{3}$ ( cancel 21 and 3 by 3 and 2 and 8 by 2 )

= $\frac{7}{1}$ × $\frac{4}{1}$ = 7 × 4 = 28 units³

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20warriorsoul14

22.10.2021

Assuming the cube is closed, you can use the divergence theorem:

$\displaystyle\iint_S\vec F\cdot\mathrm dS=\iiint_T\mathrm{div}\vec F\,\mathrm dV$

where is the surface of the cube and is the region bounded by .

We have

$\mathrm{div}\vec F=\dfrac{\partial(y+z)}{\partial x}+\dfrac{\partial(x+z)}{\partial y}+\dfrac{\partial(x+y)}{\partial z}=0$

so the flux is 0.

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