Question

the surface area of cube is 96sq.cm. Find the volume of the cube.​

Answer 1

Answer:

the volume of cube=64cm^3

Step-by-step explanation:

let the side be a

the surface area of cube=6a^2

96sq.cm=6a^2

a^2=96/6sq.cm

a^2=16sq.cm

so a=4cm

the volume of cube=(side)^3

the volume of cube=(4)^3cm

the volume of cube=64cm^3

Answer 2

Given :

• Total Surface Area of Cube = 96cm²

To Find :

• Volume of the Cube

Solution :

✰ As we know that, Total Surface Area of Cube and Volume of Cube are given by 6 × (side)² and side × side × side or (side)³ . Now in this question Total Surface Area of Cube is given and we have to find the Volume of thr Cube. So firstly we will find the side of the cube and then we will find the volume of the cube.

⠀⠀⠀

⠀⠀⠀⟼⠀⠀⠀TSA = 6 × (side)²

⠀⠀⠀⟼⠀⠀⠀96 = 6 × (side)²

⠀⠀⠀⟼⠀⠀⠀96/6 = (side)²

⠀⠀⠀⟼⠀⠀⠀16 = (side)²

⠀⠀⠀⟼⠀⠀⠀√16 = side

⠀⠀⠀⟼⠀⠀⠀4cm = side

⠀

now,

⠀⠀⠀⟼⠀⠀⠀Volume = (side)³

⠀⠀⠀⟼⠀⠀⠀Volume = side × side × side

⠀⠀⠀⟼⠀⠀⠀Volume = 4 × 4 × 4

⠀⠀⠀⟼⠀⠀⠀Volume = 4 × 16

⠀⠀⠀⟼⠀⠀⠀Volume = 64cm³

⠀

Thus Volume of Cube 64cm³

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