Arectangular flowerbed is 22 inches long by 8 inches wide. the flowerbed is filled to a depth of 6 inches with dirt. what is the volume, in cubic inches, of the dirt in the flowerbed?

176

180

712

1056

The volume of the dirt in the flowerbed is

Step-by-step explanation:

we know that

To find the volume of the dirt in the flowerbed, multiply the long by the width by the depth

so

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