The volume of a cube is numerically equal to its surface area Find the length of its edge - Maths - Surface Areas and Volumes

Question

The volume of a cube is numerically equal to its surface
area Find the length of its edge

Manbar Singh · Accepted Answer

Let the length of each edge of the cube = s
â€‹volume of cube = s3
surface area of cube = 6s2

now,Volume of cube = surface area of cube [given]⇒s3 =
6s2⇒s3 - 6s2 = 0⇒s2(s - 6) = 0⇒s2 = 0 or s - 6 =
0⇒s = 0 [rejected] or s = 6so length of each edge of cube = 6
units

The volume of a cube is numerically equal to its surface area.Find the length of its edge.

^{The volume of a cube is numerically equal to its surface area.Find the length of its edge.}