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

Answer:

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

Step-by-step 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

$V=l\times w\times h$

$V=2x\times 4x^2\times (2x^2+x+7)$

$V=8x^3\times (2x^2+x+7)$

$V=8x^3\times 2x^2+8x^3\times x+8x^3\times 7$

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

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