The volume of a fish tank in the shape of a cube is 729 in3. This equation shows the volume of the fish tank, where s represents the side length. s3 = 729 What is the height of the fish tank? A 9 inches B 27 inches C 81 inches D 243 inches

B. 27 inches

Step-by-step explanation:

given s³ = 729 where s is the length of each side of the fish tank (which also happens to equal the height because all sides of a cube are equal length)

s³ = 729

s = ∛729

s = 27 inches

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

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