A rectangular prism is shown below. 11 cm 4 cm 7 cm A formula for the volume of a rectangular prism is V = 1*w*h. What is the volume of the figure? 0 A 308 cubic cm 0 B 77 cubic cm 0 C 28 cubic cm OD. 44 cubic cm OMG HELP ​

the answer will be the last one

hello from mrbilldoesmath!

answer:

(7 x + 6 y) (49 x^2 - 42 x y + 36 y^2)

discussion:

the trick is to recognize that 343 = 7^3 and 216 = 6^3 and, in general,

a^3 + b^3 =   (a + b) (a^2 - a b + b^2).

in our case

343x^3+216y^3   =   (7x)^3 + (6y)^3

so take a = 7x and b = 6y in the above equation to get the answer.

you,

mrb