Question

If the volume of a cube is 3√3a³ , then find the total surface area of the cube.

Answer 1

volume of a cube = cube of side

3√3a^3 = (side)^3

taking cube root both side

side = √3a unit

total surface area of a cube = 6 (side )^2

= 6(√3a)^2

=6(3a^2)

=18a^2 square unit

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Answer 2

Let the side of the cube = s
Volume = s³
Given volume =3√3 a³
s³=(√3*3*3 )*a³
s³= (√3* a)³
s= √3 *a
Total Surface Area of the cube = 6*(side)²
= 6*(√3 *a)²
= 6*3*a²
=18a² square units

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