Question

If the lateral surface area of a cube is 144 cm², then its volume is​

Answer 1

✧ Given :

• Lateral surface area of a cube is 144 cm².

✧ To Find :

• It's volume ?

✧ Solution :

• We know that,

Lateral surface area of cube = 4a² of a cube.

Now, substitute the values :-

➠ 144 = 4a²

➠ 144/4 = a²

➠ 36 = a²

➠ ∴ 6 cm = a

• We also know that,

Volume of cube = a³

Now, substitute the values :-

➠ (6)³

➠ 216 cm³.

◙ Hence, The volume of a cube is 216 cm³.

____________________

Answer 2

Answer:

$216 {cm}^{3}$

Step-by-step explanation:

PLEASE MARK BRAINLIEST !!!!

LATERAL SURFACE AREA OF CUBE =

$4 {a}^{2}$

where a = side of cube

GIVEN

$4 {a}^{2} = 144$

${a}^{2} = 144 \div 4$

${a}^{2} = 36$

$a = 6$

Then, the volume of cube obtained is

$volume \: of cube = {a}^{3}$

${a}^{3} = {6}^{3}$

${a}^{3} = 216$

THEREFORE, THE VOLUME OF CUBE IS

$216 {cm}^{3}$