Question

The total surface area of a cube is 384 cm2, then its volume is

Answer 1

6l2=384
l2=384/6=64
l=root of 64=8
volume=a*a*a=8*8*8=512cm3

Answer 2

Volume of cube is 512 cubic centimeter

Solution:

Given that total surface area of cube is 384 square centimeter

To find: volume of cube

The surface area of a cube is given as:

$T.S.A = 6a^2$

where a is the length of the side of each edge of the cube.

$384 = 6a^2$

$a^2 = \frac{384}{6} = 64\\\\a = \pm8$

Ignoring negative value, we get

a = 8 cm

The volume of cube is given as:

$v = a^3$

Substituting a = 8 cm in above formula,

$v = 8^3\\\\v = 8 \times 8 \times 8 = 512$

Thus volume of cube is 512 cubic centimeter

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