3 years ago

Volume of the figure

1 answer:

5 0

Volume of triangular prism + volume of rectangular prism = total volume
16*4*6+1/2*12*9=V
438=V
The volume of the figure is 438ft²

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Step-by-step explanation:

It is given that,

$u{\cdot}v=4\\\\|u|=5\\\\|v|=3$

We need to find the value of $4u{\cdot} (4u-7v)$

Firstly, we should simplify $4u{\cdot} (4u-7v)$

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$4u{\cdot} (4u-7v)=4u{\cdot} 4u-4u{\cdot} 7v\\\\=16u{\cdot}u-28{u{\cdot} v}\\\\=16|u|^2-28(u{\cdot}v)\\\\=16\times 5^2-28\times 4\\\\=288$

So, the value of $4u{\cdot} (4u-7v)$ is 288.

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3 years ago