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If the total surface area of a cube is 864 square cm, find the volume of the cube ?
Answer & Solution
Correct Answer:
Option
A
Each edges of cube = a cm
∴ Total surface area of cube = 6a2
⇒ 6a2 = 864
⇒ a2 = $$\frac{864}{6}$$ = 144
⇒ a = $$\sqrt {144} $$ = 12 cm
∴ Volume of cube :
= a3 cm3
= (12 × 12 × 12) cm3
= 1728 cm3
∴ Total surface area of cube = 6a2
⇒ 6a2 = 864
⇒ a2 = $$\frac{864}{6}$$ = 144
⇒ a = $$\sqrt {144} $$ = 12 cm
∴ Volume of cube :
= a3 cm3
= (12 × 12 × 12) cm3
= 1728 cm3
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