Question

The whole surface area of cube is 216²the volume of this will be

Answer 1

Answer:

Given, lateral surface area of a cube =216 cm

2

.

We know, total surface area of cube =6(a)

2

.

∴6(a)

2

=216

⟹(a)

2

=

6

216

⟹(a)

2

=36

⟹ a =6.

Also, volume of cube =( a)

3

.

∴ Volume of cube =(6)

3

=216 cm

3

.

Answer 2

S O L U T I O N :

⟶ 6(a)² = 216

⟶ a² = 216/6

⟶ a² = 36

⟶ a = √36

⟶ a = ±6

V O L U M E :⠀

⟶ Volume = (a)³

⟶ Volume = (6)³

⟶ Volume = 216³

∴ Hence, the volume of cube is 216 cm³.

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⠀⠀⠀⠀⠀⠀ Used Formulas : —

• Volume of cube = ( a³)

• TSA of cube = 6 × (a)²