Question

Q-1 the lateral surface area of a cube is 324 cm². find its volume and the total surface area ? 2 mark question
​

Answer 1

Answer:

Volume of cube=729 cm³

Total surface area of cube=486 cm²

Step-by-step explanation:

Let side if the cube be a

Then, according to formula,

4a²=324

a²=324/4

a=√81=9cm

So,

Total surface area of cube=6a²=6*9*9=6*81=486 cm²

Volume of cube=9*9*9. (We have taken length, base and height as 9 because all sides of a cube are equal)

=729 cm³

Answer 2

Let each side of the cube be a cm.

Then, the lateral surface area of the cube =$(4a^2)cm^2$

$4a^2 = 324 => a^2 = 81 => a = √81 = 9$

Volume of the cube = $a^3cm ^3$

= $(9 × 9 × 9)cm^3$

= $729cm^3$

Total surface area of the cube = $(6a^2)^2$

= $(6 × 9 × 9) cm^2$

= $486cm^2$