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egoroff_w [7]
3 years ago
5

Algebra 2 help pls answer

Mathematics
1 answer:
AURORKA [14]3 years ago
8 0

Answer:

The volume of this rectangular prism equals V = 20x^{4}  + 20x^{3} + 40x^{2}

Step-by-step explanation:

In order to solve this question, we have to use the formula provided in the question to find out the volume of the rectangular prism. The formula goes as follows...

V = l × w × h   (where "l" is the length, "w" is the width, and "h" is height.

From the question, we know that...

l = 4x

w = 5x

h = x^{2} + x + 2

Now we just have to substitute all of these values into the equation and we get that...

V = l × w × h

V = 4x × 5x × (x^{2} + x +2)

V = (20x^{2})(x^{2}  + x + 2)\\V = 20x^{4}  + 20x^{3} + 40x^{2}

Therefore, The volume of this rectangular prism equals V = 20x^{4}  + 20x^{3} + 40x^{2}

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