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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? A. a^3 + 3a^2b + 3ab^2 + b^3 B. 125a^3 + 300a^2b + 240ab^2 + b^3 C. 125a^3 - 300 a^2b + 240ab^2 + 64b^3 D. a^3 - 3a^2b + 3a^2b - b^3
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Vol=l*w*h
Vol of cube = s^3
= (5a+4b)^3
I got B
Is that right?
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I got 125 a^3+300 a^2 b+240 a b^2+64 b^3
V=side*side*side V=(5a+4b)(5a+4b)(5a+4b) V=(25a^2+40ab+16b^2)(5a+4b) V=125a^3+300a^2b + 240ab^2 + b^3 B.
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