Question

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.

Answer 1

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

Hope this helps :)

Answer 2

The volume of rectangular prism is
`V=16x^5+8x^4+56x^3`.

Explanation:

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

The formula of volume of rectangular prism is

`V=l* w* h`

`V=2x* 4x^2* (2x^2+x+7)`

`V=8x^3* (2x^2+x+7)`

`V=8x^3* 2x^2+8x^3* x+8x^3* 7`

`V=16x^5+8x^4+56x^3`

Therefore the volume of rectangular prism is
`V=16x^5+8x^4+56x^3`.