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will medal and fan


Write an expression to represent the total volume of two different sized boxes as a sum of cubes if one of the boxes has sides with a length of 1 foot and the other has sides with a length of x feet.

Answer 1

First off, what is the formula for the volume of a cube?

Answer 2

I don't know

Answer 3

The total volume is x^3 + 1^3 = x^3 + 1

x^3 + 1 = (x + 1)(x^2 - x + 1)

Let x = 3

x^3 + 1 = 3^3 + 1 = 28

You can confirm this by using the factors.

(3 + 1) ( 3^2 - 3 + 1)
(4 ) (9 - 3 + 1)
4 * 7 = 28 i think

Answer 4

The formula is the side length of the cube to the power of three, aka cubed. So if the side length is 1, what is the volume?

Answer 5

1

Answer 6

thx