Question

find the volume of a cube whose total surface area is 384 cm².​

Answer 1

Answer:

512 cm³

Step-by-step explanation:

let the side be x

total surface area of the cube= 384

we know that,

6×side²

6×x²=384

x²=384/6

x²= 64

x= 8

Now, Volume of the cube= (side)³

8³cm³

512cm³

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Answer 2

Answer:

Given:-

• Total surface area of cube is 384 cm².

To Find:-

• Volume of cube?

Solution:-

Total surface area of cube:-

$\huge \boxed{6 {a}^{2} }$

Where,

• a = side

According to the question:-

• 6a² = 384 cm²
• a² = 384/6
• a² = 64
• a = √64
• a = 8 cm

Now, the area of cube:-

$\large \boxed { \rm{side \times side \times side}}$

Where,

• Side = 8 cm

Calculating the area of cube:-

• 8 × 8 × 8
• 64 × 8
• 512 cm³

Hence, the area of cube is

512 cm³.