Question

The volume and surface area of a cube are numerically equal. The numerical value of the edge of the cube is

Answer 1

Question says that the volume and surface area of a cube are numerically equal.

Now we need to find the numerical value of the edge of the cube.

We know that cube looks like a box having all sides equal

so if side length of the cube is x then

$Volume = x^3$

$Surface area = 6x^2$

Question says that volume and area are equal so we can write equation

$x^3=6x^2$

$x^3-6x^2=0$

$x^2(x-6)=0$

$x^2=0$ or x-6=0

x=0 or x=6

Since side length of cube can't be 0 hence x=6 will be correct.

Hence the numerical value of the edge of the cube is 6.

Answer 2

Answer:

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Step-by-step explanation:

Question says that the volume and surface area of a cube are numerically equal.

Now we need to find the numerical value of the edge of the cube.

We know that cube looks like a box having all sides equal

so if side length of the cube is x then

Question says that volume and area are equal so we can write equation

or x-6=0

x=0 or x=6

Since side length of cube can't be 0 hence x=6 will be correct.

Hence the numerical value of the edge of the cube is 6