If the total surface area of a cube is 864 square cm, find the volume of the cube ?
Options:
A . 1728 cm3
B . 1624 cm3
C . 144 cm3
D . 1684 cm3
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
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