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Find the volume of a rectangular prism if the length is 2x, the width is 4x2, and the height is 2x2 + x + 7. Use the formula V = l ⋅ w ⋅ h, where l is length, w is width, and h is height, to find the volume.

Respuesta :

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2x*(4x^2)*(2x^2+x+7)
8x^3*(2x^2+x+7)
16x^5+8x^4+56x^3

Hope this helps :)

Answer:

The volume of rectangular prism is [tex]V=16x^5+8x^4+56x^3[/tex].

Step-by-step explanation:

It is given that the length rectangular prism of a is 2x, the width is 4x2, and the height is [tex]2x^2+x+7[/tex].

The formula of volume of rectangular prism is

[tex]V=l\times w\times h[/tex]

[tex]V=2x\times 4x^2\times (2x^2+x+7)[/tex]

[tex]V=8x^3\times (2x^2+x+7)[/tex]

[tex]V=8x^3\times 2x^2+8x^3\times x+8x^3\times 7[/tex]

[tex]V=16x^5+8x^4+56x^3[/tex]

Therefore the volume of rectangular prism is [tex]V=16x^5+8x^4+56x^3[/tex].

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