(x + 4)^(3) =
(x + 4)(x + 4)(x + 4) =
(x^(2) + 8x + 16)(x + 4) =
x^(3) + 8x^(2) + 16x + 4x^(2) + 32x + 64) =
x^(3) + 12x^(2) + 48x + 64
Done!!!!!
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A cube has 12 edges so each edge is 4 in, making volume 64 cu in.
Cube root it. the square of a cubed number can be divided into 3 equal squares (Ae3)e2 = Ae(3x2) or Ae6 this is also equal to (Ae2)e3 as long as a number can be expresses as a root number with an exponent equal to 6 the cube root of that number is a square of the root Example: 64 can be divided into 8 x 8 or 4 x 4 x 4 64 is the square of 8 and the cube of 4 4 is the square of 2, 8 is the cube of 2 per the above formula: (2e3)e2 = 2e6 = (2e2)e3 = 8e2 and 4e3 more simply: 2 x 2 x 2 x 2 x 2 x 2 = 64 8 x 8 = 64 (64 is a square) 4 x 4 x 4 = 64 (64 is also a cube) 2 x 2 = 4 (4 is a square)
any number multiplied by itself three times is a cube number eg. 3 x 3 x 3 =27 5 x 5 x 5 =125 so 27 is a cube number, so is 125 you can work out if something is a cube number by cube rooting it there is a cube root button on most scientific calculators
The volume of a cube is calculated using the formula V = s^3, where s represents the length of one side of the cube. In this case, the length of the cube is 4 inches. Therefore, the volume of the cube would be V = 4^3 = 64 cubic inches.
Cube root of 64 is 4 therefore cube is 4 x 4 x 4. Each side of the cube has 16 visible small cube faces, 4 of which are corners (3 green sides) and 8 more are edges (2 green sides), so there are only four small cubes with one green face on each of the six sides of the large cube. Your answer is therefore 24.