Question

The surface area of a cube is 54cm3.Find it's volume.​

Answer 1

Step-by-step explanation:

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Answer 2

$\huge \boxed{ \red{\mathfrak{solution}}}$

GIVEN :

• Surface area of the cube is 54cm ^2 .

TO FIND :

• It's volume =?

As we know that :

Surface area of cube =

$\boxed { \bold\green{ 6 {a}^{2} }}$

$\leadsto \: 6 {a}^{2} = 54 \\ \\ \leadsto \: {a}^{2} = \cancel\frac{54}{6} \\ \\ \leadsto \: {a}^{2} = 9 \\ \\ \leadsto \: a = \sqrt{9} \\ \\ \leadsto \: a = 3$

side = 3 cm

Now ,

volume of cube =

$\leadsto \: {a}^{3} \\ \\ \leadsto { 3 }^{3} \\ \\ \leadsto \: 27$

Hence volume is 27 cm^3