Question

Solve the question The volume of a cube is 729 cmcube Find its surface area
​

Answer 1

Step-by-step explanation:

Volume of a cube=729cm^3

Side=3√729=9cm

surface area=6a^2

=6×81=486cm^2

Here is your answer and hope it's helpful to you.

Answer 2

Given :

• Volume of a cube = 729 cm³

To find :

• Surface area of the cuboid

Solution :

Firstly, we will find the side of the cube. By using the formula of volume of cube.

Volume of cube = side³

Substituting the given value,

⇒ 729 = side³

⇒ ∛729 = side

⇒ 9 = side

Side of the cube = 9 cm

Using formula,

Surface area of cube = 6 × side²

Substituting the given value,

⇒ Surface area of cube = 6 × (9)²

⇒ Surface area of cube = 6 × 81

⇒ Surface area of cube = 486

Surface area of cube = 486 cm²

_________________________________

Some related formulae :-

• Total surface Area of cuboid = 2(lb + bh + hl)
• Volume of cuboid =  length × breadth × height
• Perimeter of cuboid = 4 (length + breadth + height)
• Perimeter of cube = 12 × side
• Area of square = side × side
• Perimeter of square = 4 × side
• Diagonal of square = √2a
• Perimeter of reactangle = 2(l + b)
• Diagonal of rectangle = √l² + √b²