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
