Question

The lateral surface area of a cube is 512 cm square find the side of the cube​

Answer 1

Question:-

The lateral surface area of a cube is 512 cm² find the side of the cube

Answer:-

• The side of cube is 11.31 cm

To find:-

• Side of cube

Solution:-

• Lateral surface area = 512 cm²

$\purple{ \underline { \underline{ \huge{ \mathbb{ \pink{LSA = 4 {a}^{2} }}}}}}$

• Where a is the side of cube

According to question,

$\large{ \tt : \implies \: \: \: \: \: \: \: \: 4 {a}^{2} = 512}$

$\large{ \tt : \implies \: \: \: \: \: \: \: \: {a}^{2} = \frac{512}{4} }$

$\large{ \tt : \implies \: \: \: \: \: \: \: \: {a}^{2} = 128}$

$\large{ \tt : \implies \: \: \: \: \: \: \: \: a = \sqrt{128} }$

$\large{ \tt : \implies \: \: \: \: \: \: \: \: a = 11.31}$

• The side of cube is 11.31 cm