MCQ
The total surface area of a cube is $864 cm ^2$. Its volume is
- A$3456 cm ^3$
- B$432 cm ^3$
- ✓$1728 cm ^3$
- D$3460 cm ^3$
✓
Answer
Correct option: C.
$1728 cm ^3$
(c) : Let $a$ be the side of the cube.Given, total surface area of cube $=864 cm ^2$
$
\therefore \quad 6 a^2=864 \Rightarrow a^2=144 \Rightarrow a=12 cm
$
$\therefore$ Volume of the cube $=(12 \times 12 \times 12) cm ^3=1728 cm ^3$
$
\therefore \quad 6 a^2=864 \Rightarrow a^2=144 \Rightarrow a=12 cm
$
$\therefore$ Volume of the cube $=(12 \times 12 \times 12) cm ^3=1728 cm ^3$
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