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Which equation finds the volume of a cube with a side length of 2n^6 units. BRAINLIEST TO WHOEVER CAN ANSWER

Which equation finds the volume of a cube with a side length of 2n6 units BRAINLIEST TO WHOEVER CAN ANSWER class=

Respuesta :

calculista

Answer:

[tex]V=(2n^{6})^{3}=8n^{18}\ units^{3}[/tex]

Step-by-step explanation:

we know that

the volume of a cube is equal to

[tex]V=s^{3}[/tex]

where

s is the length side of a cube

In this problem we have

[tex]s=2n^{6} \ units[/tex]

Substitute the value in the formula

[tex]V=(2n^{6})^{3}=8n^{18}\ units^{3}[/tex]

The equation of the volume of the cube is [tex]\rm (2n^6)^3=8n^{18} \ cubic \ units[/tex], the correct option is A.

The volume of the cube

The volume of the cube is defined as the cubie of the side of the length.

The equation finds the volume of a cube with a side length of 2n^6 units.

The volume of a cube is given by;

[tex]\rm Volume \ of \ the\ cube =a^3[/tex]

Where a side length of the cube.

The side length of the cube is f 2n^6 units.

Substitute the value in the formula;

[tex]\rm Volume \ of \ the\ cube =a^3\\\\\rm Volume \ of \ the\ cube =(2n^6)^3\\\\\rm Volume \ of \ the\ cube =2^3 \times n^{6\times 3}\\\\\rm Volume \ of \ the\ cube =8n^{18}[/tex]

Hence, the equation of the volume of the cube is [tex]\rm (2n^6)^3=8n^{18} \ cubic \ units[/tex].

To know more about the volume of the cube click the link given below.

https://brainly.com/question/25247852

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