Question

The volume of a cube is 729 cu.cm .Find its total surface area.

Answer 1

l³=729
l³=9³
l=9cm
TSA=6l²=6×9²=486cm²

Answer 2

Hey there !

Solution

Volume of cube = a³

Here 'a' represents the side of the cube.

Given that,

a³ = 729 cm³

=> a = ∛ 729 = 9 cm

So each side of cube is 9 cm.

Now we must find the Surface area of the Cube:

Total Surface Area = 6a²

=> Total Surface Area of Cube = 6 × ( 9² )

=> Total Surface Area of Cube = 6 × 81 = 486 cm².

Lateral Surface Area = 4a²

=> Lateral Surface Area of Cube = 4 × ( 9² )

=> Lateral Surface Area of Cube = 4 × 81

=> Lateral Surface Area of Cube = 324 cm²

These are the required solutions.

Hope my answer helped !