Question

the total surface of the area of a cube is 1350 sq.m . find the volume​

Answer 1

To Find :-

• The volume of the cube

Solution:

Given that,

• The total surface area of cube = 1350m²

We know that,

Total surface of cube = 6(a)² sq. units,

∴ The side of cube is :-

⟶ 6(a)² = 1350

⟶ a² = 1350 ÷ 6

⟶ a² = 225

⟶ a² = 15 × 15

⟶ a = 15m

Hence,

The volume of cube :-

We know that,

Volume of cube = (a)³ cubic units,

∴ The volume of cube is :-

⟶ Volume = (a)³

⟶ Volume = (15)³

⟶ Volume = ( 15 × 15 × 15 )m²

⟶ Volume = 3375m²

Required Answer :-

• The volume of cube is 3375m².

Answer 2

Given :

• Shape = Cube
• Total Surface Area of Cube = 1350m²

To Find :

• Volume of Cube

Solution :

✰ As we know that, Total Surface Area (TSA) of cube is given by 6 × (side)² . For finding the volume of cube we need the side of cube as volume of cube is given by (side)³ . Now, we will find the side of the cube by applying the formula of Total Surface Area of cube.

⠀⠀

⟹ Total Surface Area = 6 × (side)²

⟹ 1350 = 6 × (side)²

⟹ 1350 / 6 = (side)²

⟹ 225 = (side)²

⟹ √225 = side

⟹ 15 = side

⠀

Now,

➟ Volume of Cube = (side)³

➟ Volume of Cube = (15)³

➟ Volume of Cube = 15 × 15 × 15

➟ Volume of Cube = 225 × 15

➟ Volume of Cube = 3375m³

Thus Volume of Cube is 3375m³

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