Question

Find the volume of a rectangular prism if the length is x, the width is x2, and the height is 5x2 + 4x + 1. Use the formula V = l ⋅ w ⋅ h, where l is length, w is width, and h is height, to find the volume.
5x5 + 4x4 + x3
5x4 + 4x3 + x2
6x5 + 4x4 + x3
6x4+4x3+x2

Answer 1

Hello!

You find the volume of a rectangular prism if the length is x, the width is x2, and the height is 5x2 + 4x + 1. Use the formula
V = l ⋅ w ⋅ h, where l is length, w is width, and h is height, to find the volume. 

Solution:

So in this Case, we can see that the Length = x, Width = x², and Height = 5x2 + 4x + 1.             Remember: (V = l . w . h) 

Use the formula:
V = l ⋅ w ⋅ h,=x×x²×(5x²+4x+1) 

=x³×(5x²+4x+1) 

=5x^5+4x^4+x³

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