Can someone please help me out with this question?

Mathematics

1 answer:

VMariaS [17]2 years ago

8 0

Answer:

10x³ + 12x² - 198x - 40

Step-by-step explanation:

Given parameters:

L(x) = 5x + 1

W(x) = 2x - 8

H(x) = x + 5

Unknown:

Volume = ?

Solution:

The volume of the body;

Volume = L x W x H

Insert the parameters and solve;

Volume = (5x + 1)(2x - 8)(x + 5)

Volume = (10x² - 40x + 2x - 8)(x + 5)

Volume = (10x² - 38x - 8 )(x + 5)

Volume = 10x³ - 38x² - 8x + 50x² - 190x - 40

Volume = 10x³ -38x² + 50x² - 8x - 190x - 40

Volume = 10x³ + 12x² - 198x - 40

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