Question

the surface area of a cube is 384 cm 2 the find the volume of the cube​

Answer 1

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 volume 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.