The whole surface area of cube is 216²the volume of this will be
Answers
Answered by
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
.
Answered by
6
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.
⠀⠀⠀━━━━━━━━━━━━━━━━━━━━━━━━⠀
⠀⠀⠀⠀⠀⠀ Used Formulas : —
- Volume of cube = ( a³)
- TSA of cube = 6 × (a)²
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