Question

The volume of a cube is given by the expression (27 + )^3
.What is the expression for the length
of the edge of the cube?

Answer 1

Answer:

a = 3x+2y

Step-by-step explanation:

volume of cube = 27x^3+8y^3+54x^2+36y^2

volume of cube is in the form of (a+b)^3.

(3x)^3+(2y)^3+3(3x)^2(2y)+3(3x)(2y)^2 = (3x+2y)^3.

There fore, a^3 = (3x+2y)^3.

(Here, a = length of cube).

There fore, a = 3x+2y

Answer 2

Answer:

here is your answer

Explanation:

Volume of a cube = (length of the edge of the cube)³

∴ length of the cube =  ∛(volume)

The expression for the volume of the cube = (27 + x)³

=> length of the cube =∛(volume)

=> length of cube = ∛(27 + x)³

=> length of cube = 27 + x

Hence, the expression for the edge of the cube = (27 + x)