# Total Surface Area of a Cube is 864 Sq.Cm. Find Its Volume. - Geometry

Sum

Total surface area of a cube is 864 sq.cm. Find its volume.

#### Solution

Let the edge of the cube be l cm.
Total surface area of the cube = 864 cm2
∴ 6l2 = 864 cm2

⇒ l2 = 864/6 = 144

⇒ l = sqrt 144 = 12 cm

∴ Volume of the cube = l3 = (12)3 = 1728 cm3
Thus, the volume of the cube is 1728 cm3.

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#### APPEARS IN

Balbharati Mathematics 2 Geometry 9th Standard Maharashtra State Board
Chapter 9 Surface Area and Volume
Problem Set 9 | Q 5 | Page 123