Question

Find the side of a cube whose lateral surface area is 256 cm².​

Answer 1

Answer:

Lateral surface area of a cube=4a

2

=256m

2

⇒a

2

=

4

256

=64

Side=a=8m

Volume of cube=a

3

=8

3

=512m

3

Answer 2

Given:-

• Area of cube is 256 cm²

To Find:-

• Measure of side?

Solution:-

Surface area of cube

$\dag{ \underline{ \boxed{ \tt{ \pink{6 {a}^{2} }}}}}$

Where,

• a = side

Now, according to the question

$\longrightarrow \: 6 {a}^{2} = {256}^{2} \\ \\ \longrightarrow \frac{256}{6} = {a}^{2} \\ \\ \longrightarrow 4.41 = {a}^{2} \\ \\ \longrightarrow \sqrt{4.41} =a \\ \\ \longrightarrow \dag { \underline{ \boxed{ \rm{ \green{2.1 = a}}}}}$

Hence, the measure of side is 2.1 cm.