Question

lateral surface of cube is 324cm find the volume and total surface area

Answer 1

Hey, hi

Here is ur answer

LSA of cube is = 4s²

324 = 4s²

S²= 81

S= 9

TSA of cube is = 6s²

=6× 81

=486

Answer 2

Hlo friend.. Cutiepie Here..

Here is ur answer :

First, the formula used in this question :

Lateral surface area of cube = 4 × (side)²

Total surface area of cube = 6 × (side)²

Volume of cube = (side)³

__________

Now come to the question,

Lateral surface area of cube = 324 cm².

We have to find side of cube.

Let the side be a.

According to question,

4a² = 324

${a}^{2} = \frac{324}{4}$


${a}^{2} = 81$


$a = \sqrt{81}$


$a = 9$


Side of cube = 9 cm


Total surface area of cube

$= 6 {a}^{2}$


$= 6 \times {(9)}^{2}$


$= 6 \times 81$


$= 486 \: \: {cm}^{2}$


________________

Volume of cube

$= {a}^{3}$

$= {(9)}^{3}$

$= 729 \: \: {cm}^{3}$




HOPE IT HELPS YOU..