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help please?!?!?

A manufacturer of shipping boxes has a box shaped like a cube. The side length is
(5a + 4b). What is the volume of the box in terms of a and b? Show your work.

Respuesta :

donnacabrera18
The volume of any cube is

V = s3

where:
V = volume
s = side

Your side is given. Therefore, the volume is

V = (5a + 4b)3

V = (5a + 4b)(5a + 4b)(5a + 4b)

V = (25a2 + 40ab + 16b2)(5a + 4b)

V = 5a(25a2 + 40ab + 16b2) + 4b(25a2 + 40ab + 16b2)

V = 125a3 + 200a2b + 80ab2 + 100a2b + 160ab2 + 64b3

V = 125a3 + 300a2b + 240ab2 + 64b3

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