Question

the total surface area of a cube is 864 square cm then, the lateral surface area of the cube is _____
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Answer 1

Step-by-step explanation:

Each edges of cube = a cm

∴ Total surface area of cube = 6a2

⇒ 6a2 = 864

⇒ a2 = 8646

= 144

⇒ a = 144−−−√

= 12 cm

∴ Volume of cube :

= a3 cm3

= (12 × 12 × 12) cm3

= 1728 cm3

Answer 2

Answer:

Let the edge of the cube be L cm.

Total surface area of the cube =864 cm

2

∴6L

2=864 cm²

⇒L2 = 6864=144

⇒L=144 =12 cm

∴Volume of the cube =I³

=(12)³

=1728³cm

Thus, the volume of the cube is 1728³cm