the number representing volume and surface area of a cube is same what is the length of the edge of the cube in term of the unit of measurement
Answers
Answer:
Edge = 6 (units)
Step-by-step explanation:
Let the edge of the given cube be: x
Volume of the given cube: s^3 unit
→x^3
Total Surface Area of given cube: 6s^2 unit
→6x^2
Given that: Volume = Total Surface Area
We get, x^3 = 6x^2
→x^3 = 6x^2
→(x)(x)(x) = 6(x)(x)
{Transposing (x)(x) to RHS...}
→(x)(x)(x)/(x)(x) = 6
→x = 6
Edge of the cube: 6
Checking the Solution...
Edge of the cube: 6
Volume of the cube: s^3 unit
→x^3
→6^3
→216
Total Surface Area of the cube: 6s^2 unit
→6x^2
→6×(6^2)
→6×36
→216
216 = 216
Volume = Total Surface Area
{Condition Satisfied...}
Hence, edge of the cube is 6 (units).
Hope it helped you...
Kindly Mark it as Brainiest...