Question

vi) Area of whole surface of a cube is 216
sq. cm, then the volume of the cube is
a) 343 cu.cm.
(b) 216 cu.cm
c)
121 cu.cm.
(d) 225 cu.cm.
​

Answer 1

Answer:

216 cu. cm.

Step-by-step explanation:

Surface area of cube=

$6 {l}^{2}$

6l^2 = 216

l^2 =36

l= 6cm

Volume of cube=

${l}^{3}$

6^3 = 216 cubic cm.

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Answer 2

Answer:

Volume of the cube is 216 cm³.

Step-by-step explanation:

Given :-

Area of whole surface area of cube = 216 cm²

To find :-

Volume of cube.

Solution :-

T.S.A of cube 6a² = 216

$a^2 = \frac{216}{6}$

$a^2 = 36$

$a = \sqrt{36}$

$a = 6$

∴ Edge of cube is 6 cm.

Volume of cube a³,

$a^3 = 6^3$

$a^3 = 6*6*6$

$a^3 = 36*6$

$a^3 = 216$

∴ Volume of the cube is 216 cm³.