Question

if the perimeter of one face of a cube is 20cm . find its volume.​

Answer 1

Given :

• Perimeter of one face of a cube = 20 cm

To find :

• Volume of cube

Knowledge required :-

→ Formula of perimeter of one face of cube :-

• Perimeter of one face of cube = 4a

where,

• a denotes the side of the cube

→ Formula of volume of cube :-

• Volume of cube = side³

Solution :

Firstly, we will find the side of the cube by using the formula of perimeter of one face of cube.

⠀⠀⠀⇒ Perimeter = 4a

⠀⠀⠀⇒ 20 = 4a

⠀⠀⠀⇒ 20/4 = a

⠀⠀⠀⇒ 5 = a

Side of the cube = 5 cm

Now, we will find the volume of the cube by using its formula.

⠀⠀⠀⇒ Volume = side³

⠀⠀⠀⇒ Volume = (5)³

⠀⠀⠀⇒ Volume = 125

Volume of the cube = 125 cm³

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Know MorE :-

• 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
• Total surface Area of cuboid = 2(lb + bh + hl)
• Volume of cuboid =  length × breadth × height
• Perimeter of cuboid = 4 (length + breadth + height)
• Total surface area of cube = 6 × side²
• Perimeter of cube = 12 × side